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Finding the Fourth Proportional to 5,732.55, 7,909.19 and 3,712.77

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Solution

The fourth proportional to 5,732.55, 7,909.19 and 3,712.77 is: 5,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.55 : 7,909.19 = 3,712.77 : x
  2. Step 2: Convert to fraction form
    5,732.55/7,909.19 = 3,712.77/x
  3. Step 3: Cross multiply
    5,732.55x = 7,909.19 × 3,712.77
  4. Step 4: Simplify right side
    5,732.55x = 29,364,984.79
  5. Step 5: Solve for x
    x = 29,364,984.79/5,732.55
  6. Step 6: Final answer
    x = 5,122.50

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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.