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Finding the Fourth Proportional to 3,784.52, 5,640.11 and 3,587.69

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Solution

The fourth proportional to 3,784.52, 5,640.11 and 3,587.69 is: 5,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.52 : 5,640.11 = 3,587.69 : x
  2. Step 2: Convert to fraction form
    3,784.52/5,640.11 = 3,587.69/x
  3. Step 3: Cross multiply
    3,784.52x = 5,640.11 × 3,587.69
  4. Step 4: Simplify right side
    3,784.52x = 20,234,966.25
  5. Step 5: Solve for x
    x = 20,234,966.25/3,784.52
  6. Step 6: Final answer
    x = 5,346.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.