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Finding the Fourth Proportional to 5,531.76, 7,633.44 and 3,966.84

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Solution

The fourth proportional to 5,531.76, 7,633.44 and 3,966.84 is: 5,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.76 : 7,633.44 = 3,966.84 : x
  2. Step 2: Convert to fraction form
    5,531.76/7,633.44 = 3,966.84/x
  3. Step 3: Cross multiply
    5,531.76x = 7,633.44 × 3,966.84
  4. Step 4: Simplify right side
    5,531.76x = 30,280,635.13
  5. Step 5: Solve for x
    x = 30,280,635.13/5,531.76
  6. Step 6: Final answer
    x = 5,473.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.