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Finding the Fourth Proportional to 5,643.12, 8,468.40 and 2,524.80

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Solution

The fourth proportional to 5,643.12, 8,468.40 and 2,524.80 is: 3,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.12 : 8,468.40 = 2,524.80 : x
  2. Step 2: Convert to fraction form
    5,643.12/8,468.40 = 2,524.80/x
  3. Step 3: Cross multiply
    5,643.12x = 8,468.40 × 2,524.80
  4. Step 4: Simplify right side
    5,643.12x = 21,381,016.32
  5. Step 5: Solve for x
    x = 21,381,016.32/5,643.12
  6. Step 6: Final answer
    x = 3,788.86

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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.