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Finding the Fourth Proportional to 5,663.84, 8,494.14 and 3,473.60

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Solution

The fourth proportional to 5,663.84, 8,494.14 and 3,473.60 is: 5,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.84 : 8,494.14 = 3,473.60 : x
  2. Step 2: Convert to fraction form
    5,663.84/8,494.14 = 3,473.60/x
  3. Step 3: Cross multiply
    5,663.84x = 8,494.14 × 3,473.60
  4. Step 4: Simplify right side
    5,663.84x = 29,505,244.70
  5. Step 5: Solve for x
    x = 29,505,244.70/5,663.84
  6. Step 6: Final answer
    x = 5,209.41

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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.