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Finding the Fourth Proportional to 5,758.14, 8,630.19 and 2,464.29

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Solution

The fourth proportional to 5,758.14, 8,630.19 and 2,464.29 is: 3,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.14 : 8,630.19 = 2,464.29 : x
  2. Step 2: Convert to fraction form
    5,758.14/8,630.19 = 2,464.29/x
  3. Step 3: Cross multiply
    5,758.14x = 8,630.19 × 2,464.29
  4. Step 4: Simplify right side
    5,758.14x = 21,267,290.92
  5. Step 5: Solve for x
    x = 21,267,290.92/5,758.14
  6. Step 6: Final answer
    x = 3,693.43

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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.