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Finding the Fourth Proportional to 5,642, 8,462.84 and 2,521.20

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Solution

The fourth proportional to 5,642, 8,462.84 and 2,521.20 is: 3,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 8,462.84 = 2,521.20 : x
  2. Step 2: Convert to fraction form
    5,642/8,462.84 = 2,521.20/x
  3. Step 3: Cross multiply
    5,642x = 8,462.84 × 2,521.20
  4. Step 4: Simplify right side
    5,642x = 21,336,512.21
  5. Step 5: Solve for x
    x = 21,336,512.21/5,642
  6. Step 6: Final answer
    x = 3,781.73

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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.