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Finding the Fourth Proportional to 5,737.70, 7,916.81 and 3,751.17

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Solution

The fourth proportional to 5,737.70, 7,916.81 and 3,751.17 is: 5,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.70 : 7,916.81 = 3,751.17 : x
  2. Step 2: Convert to fraction form
    5,737.70/7,916.81 = 3,751.17/x
  3. Step 3: Cross multiply
    5,737.70x = 7,916.81 × 3,751.17
  4. Step 4: Simplify right side
    5,737.70x = 29,697,281.41
  5. Step 5: Solve for x
    x = 29,697,281.41/5,737.70
  6. Step 6: Final answer
    x = 5,175.82

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1.5x scale

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.