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Finding the Fourth Proportional to 4,967.34, 7,452.90 and 3,116.40

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Solution

The fourth proportional to 4,967.34, 7,452.90 and 3,116.40 is: 4,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.34 : 7,452.90 = 3,116.40 : x
  2. Step 2: Convert to fraction form
    4,967.34/7,452.90 = 3,116.40/x
  3. Step 3: Cross multiply
    4,967.34x = 7,452.90 × 3,116.40
  4. Step 4: Simplify right side
    4,967.34x = 23,226,217.56
  5. Step 5: Solve for x
    x = 23,226,217.56/4,967.34
  6. Step 6: Final answer
    x = 4,675.79

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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.