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Finding the Fourth Proportional to 4,681.59, 6,452.89 and 3,319.30

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Solution

The fourth proportional to 4,681.59, 6,452.89 and 3,319.30 is: 4,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.59 : 6,452.89 = 3,319.30 : x
  2. Step 2: Convert to fraction form
    4,681.59/6,452.89 = 3,319.30/x
  3. Step 3: Cross multiply
    4,681.59x = 6,452.89 × 3,319.30
  4. Step 4: Simplify right side
    4,681.59x = 21,419,077.54
  5. Step 5: Solve for x
    x = 21,419,077.54/4,681.59
  6. Step 6: Final answer
    x = 4,575.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.