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Finding the Fourth Proportional to 5,727,354.48, 7,903,769.40 and 3,149,197.38

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Solution

The fourth proportional to 5,727,354.48, 7,903,769.40 and 3,149,197.38 is: 4,345,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727,354.48 : 7,903,769.40 = 3,149,197.38 : x
  2. Step 2: Convert to fraction form
    5,727,354.48/7,903,769.40 = 3,149,197.38/x
  3. Step 3: Cross multiply
    5,727,354.48x = 7,903,769.40 × 3,149,197.38
  4. Step 4: Simplify right side
    5,727,354.48x = 24,890,529,886,604.17
  5. Step 5: Solve for x
    x = 24,890,529,886,604.17/5,727,354.48
  6. Step 6: Final answer
    x = 4,345,903.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.