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Finding the Fourth Proportional to 3,562.60, 5,341.37 and 2,562.54

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Solution

The fourth proportional to 3,562.60, 5,341.37 and 2,562.54 is: 3,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.60 : 5,341.37 = 2,562.54 : x
  2. Step 2: Convert to fraction form
    3,562.60/5,341.37 = 2,562.54/x
  3. Step 3: Cross multiply
    3,562.60x = 5,341.37 × 2,562.54
  4. Step 4: Simplify right side
    3,562.60x = 13,687,474.28
  5. Step 5: Solve for x
    x = 13,687,474.28/3,562.60
  6. Step 6: Final answer
    x = 3,841.99

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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.