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Finding the Fourth Proportional to 3,668.57, 5,064.35 and 2,459.31

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Solution

The fourth proportional to 3,668.57, 5,064.35 and 2,459.31 is: 3,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.57 : 5,064.35 = 2,459.31 : x
  2. Step 2: Convert to fraction form
    3,668.57/5,064.35 = 2,459.31/x
  3. Step 3: Cross multiply
    3,668.57x = 5,064.35 × 2,459.31
  4. Step 4: Simplify right side
    3,668.57x = 12,454,775.31
  5. Step 5: Solve for x
    x = 12,454,775.31/3,668.57
  6. Step 6: Final answer
    x = 3,394.99

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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.