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Finding the Fourth Proportional to 5,737.53, 8,606.19 and 1,577.52

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Solution

The fourth proportional to 5,737.53, 8,606.19 and 1,577.52 is: 2,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.53 : 8,606.19 = 1,577.52 : x
  2. Step 2: Convert to fraction form
    5,737.53/8,606.19 = 1,577.52/x
  3. Step 3: Cross multiply
    5,737.53x = 8,606.19 × 1,577.52
  4. Step 4: Simplify right side
    5,737.53x = 13,576,436.85
  5. Step 5: Solve for x
    x = 13,576,436.85/5,737.53
  6. Step 6: Final answer
    x = 2,366.25

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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.