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Finding the Fourth Proportional to 4,296.30, 6,445.17 and 1,374.30

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Solution

The fourth proportional to 4,296.30, 6,445.17 and 1,374.30 is: 2,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.30 : 6,445.17 = 1,374.30 : x
  2. Step 2: Convert to fraction form
    4,296.30/6,445.17 = 1,374.30/x
  3. Step 3: Cross multiply
    4,296.30x = 6,445.17 × 1,374.30
  4. Step 4: Simplify right side
    4,296.30x = 8,857,597.13
  5. Step 5: Solve for x
    x = 8,857,597.13/4,296.30
  6. Step 6: Final answer
    x = 2,061.68

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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.