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Finding the Fourth Proportional to 5,154.12, 7,720.74 and 4,115.88

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Solution

The fourth proportional to 5,154.12, 7,720.74 and 4,115.88 is: 6,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.12 : 7,720.74 = 4,115.88 : x
  2. Step 2: Convert to fraction form
    5,154.12/7,720.74 = 4,115.88/x
  3. Step 3: Cross multiply
    5,154.12x = 7,720.74 × 4,115.88
  4. Step 4: Simplify right side
    5,154.12x = 31,777,639.35
  5. Step 5: Solve for x
    x = 31,777,639.35/5,154.12
  6. Step 6: Final answer
    x = 6,165.48

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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.