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Finding the Fourth Proportional to 4,609.62, 6,355.44 and 3,116.52

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Solution

The fourth proportional to 4,609.62, 6,355.44 and 3,116.52 is: 4,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.62 : 6,355.44 = 3,116.52 : x
  2. Step 2: Convert to fraction form
    4,609.62/6,355.44 = 3,116.52/x
  3. Step 3: Cross multiply
    4,609.62x = 6,355.44 × 3,116.52
  4. Step 4: Simplify right side
    4,609.62x = 19,806,855.87
  5. Step 5: Solve for x
    x = 19,806,855.87/4,609.62
  6. Step 6: Final answer
    x = 4,296.85

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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.