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Finding the Fourth Proportional to 5,710,402.38, 8,566,194.04 and 1,924,180.50

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Solution

The fourth proportional to 5,710,402.38, 8,566,194.04 and 1,924,180.50 is: 2,886,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,402.38 : 8,566,194.04 = 1,924,180.50 : x
  2. Step 2: Convert to fraction form
    5,710,402.38/8,566,194.04 = 1,924,180.50/x
  3. Step 3: Cross multiply
    5,710,402.38x = 8,566,194.04 × 1,924,180.50
  4. Step 4: Simplify right side
    5,710,402.38x = 16,482,903,530,984.22
  5. Step 5: Solve for x
    x = 16,482,903,530,984.22/5,710,402.38
  6. Step 6: Final answer
    x = 2,886,469.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.