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Finding the Fourth Proportional to 5,487.95, 8,232.13 and 2,565.47

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Solution

The fourth proportional to 5,487.95, 8,232.13 and 2,565.47 is: 3,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.95 : 8,232.13 = 2,565.47 : x
  2. Step 2: Convert to fraction form
    5,487.95/8,232.13 = 2,565.47/x
  3. Step 3: Cross multiply
    5,487.95x = 8,232.13 × 2,565.47
  4. Step 4: Simplify right side
    5,487.95x = 21,119,296.72
  5. Step 5: Solve for x
    x = 21,119,296.72/5,487.95
  6. Step 6: Final answer
    x = 3,848.30

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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.