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Finding the Fourth Proportional to 3,598.52, 5,386.92 and 2,363.60

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Solution

The fourth proportional to 3,598.52, 5,386.92 and 2,363.60 is: 3,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.52 : 5,386.92 = 2,363.60 : x
  2. Step 2: Convert to fraction form
    3,598.52/5,386.92 = 2,363.60/x
  3. Step 3: Cross multiply
    3,598.52x = 5,386.92 × 2,363.60
  4. Step 4: Simplify right side
    3,598.52x = 12,732,524.11
  5. Step 5: Solve for x
    x = 12,732,524.11/3,598.52
  6. Step 6: Final answer
    x = 3,538.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.