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Finding the Fourth Proportional to 4,382.08, 6,572.80 and 1,644.16

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Solution

The fourth proportional to 4,382.08, 6,572.80 and 1,644.16 is: 2,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.08 : 6,572.80 = 1,644.16 : x
  2. Step 2: Convert to fraction form
    4,382.08/6,572.80 = 1,644.16/x
  3. Step 3: Cross multiply
    4,382.08x = 6,572.80 × 1,644.16
  4. Step 4: Simplify right side
    4,382.08x = 10,806,734.85
  5. Step 5: Solve for x
    x = 10,806,734.85/4,382.08
  6. Step 6: Final answer
    x = 2,466.12

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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.