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Finding the Fourth Proportional to 5,024.76, 7,535.34 and 1,737

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Solution

The fourth proportional to 5,024.76, 7,535.34 and 1,737 is: 2,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.76 : 7,535.34 = 1,737 : x
  2. Step 2: Convert to fraction form
    5,024.76/7,535.34 = 1,737/x
  3. Step 3: Cross multiply
    5,024.76x = 7,535.34 × 1,737
  4. Step 4: Simplify right side
    5,024.76x = 13,088,885.58
  5. Step 5: Solve for x
    x = 13,088,885.58/5,024.76
  6. Step 6: Final answer
    x = 2,604.88

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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.