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Finding the Fourth Proportional to 5,646.24, 8,461.14 and 2,721.12

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Solution

The fourth proportional to 5,646.24, 8,461.14 and 2,721.12 is: 4,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.24 : 8,461.14 = 2,721.12 : x
  2. Step 2: Convert to fraction form
    5,646.24/8,461.14 = 2,721.12/x
  3. Step 3: Cross multiply
    5,646.24x = 8,461.14 × 2,721.12
  4. Step 4: Simplify right side
    5,646.24x = 23,023,777.28
  5. Step 5: Solve for x
    x = 23,023,777.28/5,646.24
  6. Step 6: Final answer
    x = 4,077.72

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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.