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Finding the Fourth Proportional to 5,737.32, 7,916.31 and 3,750.80

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Solution

The fourth proportional to 5,737.32, 7,916.31 and 3,750.80 is: 5,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.32 : 7,916.31 = 3,750.80 : x
  2. Step 2: Convert to fraction form
    5,737.32/7,916.31 = 3,750.80/x
  3. Step 3: Cross multiply
    5,737.32x = 7,916.31 × 3,750.80
  4. Step 4: Simplify right side
    5,737.32x = 29,692,455.97
  5. Step 5: Solve for x
    x = 29,692,455.97/5,737.32
  6. Step 6: Final answer
    x = 5,175.32

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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.