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Finding the Fourth Proportional to 3,705.20, 5,557.80 and 3,624.20

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Solution

The fourth proportional to 3,705.20, 5,557.80 and 3,624.20 is: 5,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.20 : 5,557.80 = 3,624.20 : x
  2. Step 2: Convert to fraction form
    3,705.20/5,557.80 = 3,624.20/x
  3. Step 3: Cross multiply
    3,705.20x = 5,557.80 × 3,624.20
  4. Step 4: Simplify right side
    3,705.20x = 20,142,578.76
  5. Step 5: Solve for x
    x = 20,142,578.76/3,705.20
  6. Step 6: Final answer
    x = 5,436.30

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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.