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Finding the Fourth Proportional to 4,296.72, 6,444.92 and 2,319.30

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Solution

The fourth proportional to 4,296.72, 6,444.92 and 2,319.30 is: 3,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.72 : 6,444.92 = 2,319.30 : x
  2. Step 2: Convert to fraction form
    4,296.72/6,444.92 = 2,319.30/x
  3. Step 3: Cross multiply
    4,296.72x = 6,444.92 × 2,319.30
  4. Step 4: Simplify right side
    4,296.72x = 14,947,702.96
  5. Step 5: Solve for x
    x = 14,947,702.96/4,296.72
  6. Step 6: Final answer
    x = 3,478.86

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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.