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Finding the Fourth Proportional to 5,489.92, 8,252.72 and 4,406.16

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Solution

The fourth proportional to 5,489.92, 8,252.72 and 4,406.16 is: 6,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.92 : 8,252.72 = 4,406.16 : x
  2. Step 2: Convert to fraction form
    5,489.92/8,252.72 = 4,406.16/x
  3. Step 3: Cross multiply
    5,489.92x = 8,252.72 × 4,406.16
  4. Step 4: Simplify right side
    5,489.92x = 36,362,804.76
  5. Step 5: Solve for x
    x = 36,362,804.76/5,489.92
  6. Step 6: Final answer
    x = 6,623.56

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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.