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Finding the Fourth Proportional to 4,294.64, 6,439.52 and 3,927.72

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Solution

The fourth proportional to 4,294.64, 6,439.52 and 3,927.72 is: 5,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.64 : 6,439.52 = 3,927.72 : x
  2. Step 2: Convert to fraction form
    4,294.64/6,439.52 = 3,927.72/x
  3. Step 3: Cross multiply
    4,294.64x = 6,439.52 × 3,927.72
  4. Step 4: Simplify right side
    4,294.64x = 25,292,631.49
  5. Step 5: Solve for x
    x = 25,292,631.49/4,294.64
  6. Step 6: Final answer
    x = 5,889.35

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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.