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Finding the Fourth Proportional to 5,737.69, 7,916.37 and 3,721.66

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Solution

The fourth proportional to 5,737.69, 7,916.37 and 3,721.66 is: 5,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.69 : 7,916.37 = 3,721.66 : x
  2. Step 2: Convert to fraction form
    5,737.69/7,916.37 = 3,721.66/x
  3. Step 3: Cross multiply
    5,737.69x = 7,916.37 × 3,721.66
  4. Step 4: Simplify right side
    5,737.69x = 29,462,030.66
  5. Step 5: Solve for x
    x = 29,462,030.66/5,737.69
  6. Step 6: Final answer
    x = 5,134.83

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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.