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Finding the Fourth Proportional to 3,287.52, 4,534.56 and 2,587.68

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Solution

The fourth proportional to 3,287.52, 4,534.56 and 2,587.68 is: 3,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,534.56 = 2,587.68 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,534.56 = 2,587.68/x
  3. Step 3: Cross multiply
    3,287.52x = 4,534.56 × 2,587.68
  4. Step 4: Simplify right side
    3,287.52x = 11,733,990.22
  5. Step 5: Solve for x
    x = 11,733,990.22/3,287.52
  6. Step 6: Final answer
    x = 3,569.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.