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Finding the Fourth Proportional to 5,928.72, 8,896.32 and 4,456.16

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Solution

The fourth proportional to 5,928.72, 8,896.32 and 4,456.16 is: 6,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.72 : 8,896.32 = 4,456.16 : x
  2. Step 2: Convert to fraction form
    5,928.72/8,896.32 = 4,456.16/x
  3. Step 3: Cross multiply
    5,928.72x = 8,896.32 × 4,456.16
  4. Step 4: Simplify right side
    5,928.72x = 39,643,425.33
  5. Step 5: Solve for x
    x = 39,643,425.33/5,928.72
  6. Step 6: Final answer
    x = 6,686.68

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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.