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Finding the Fourth Proportional to 3,792.70, 5,689.86 and 1,160.07

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Solution

The fourth proportional to 3,792.70, 5,689.86 and 1,160.07 is: 1,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.70 : 5,689.86 = 1,160.07 : x
  2. Step 2: Convert to fraction form
    3,792.70/5,689.86 = 1,160.07/x
  3. Step 3: Cross multiply
    3,792.70x = 5,689.86 × 1,160.07
  4. Step 4: Simplify right side
    3,792.70x = 6,600,635.89
  5. Step 5: Solve for x
    x = 6,600,635.89/3,792.70
  6. Step 6: Final answer
    x = 1,740.35

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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.