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Finding the Fourth Proportional to 5,641.53, 8,462.12 and 2,682.11

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Solution

The fourth proportional to 5,641.53, 8,462.12 and 2,682.11 is: 4,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.53 : 8,462.12 = 2,682.11 : x
  2. Step 2: Convert to fraction form
    5,641.53/8,462.12 = 2,682.11/x
  3. Step 3: Cross multiply
    5,641.53x = 8,462.12 × 2,682.11
  4. Step 4: Simplify right side
    5,641.53x = 22,696,336.67
  5. Step 5: Solve for x
    x = 22,696,336.67/5,641.53
  6. Step 6: Final answer
    x = 4,023.08

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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.