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Finding the Fourth Proportional to 5,364.76, 8,044.86 and 2,077.24

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Solution

The fourth proportional to 5,364.76, 8,044.86 and 2,077.24 is: 3,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.76 : 8,044.86 = 2,077.24 : x
  2. Step 2: Convert to fraction form
    5,364.76/8,044.86 = 2,077.24/x
  3. Step 3: Cross multiply
    5,364.76x = 8,044.86 × 2,077.24
  4. Step 4: Simplify right side
    5,364.76x = 16,711,104.99
  5. Step 5: Solve for x
    x = 16,711,104.99/5,364.76
  6. Step 6: Final answer
    x = 3,114.98

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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.