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Finding the Fourth Proportional to 6,158.48, 9,242.48 and 4,297.52

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Solution

The fourth proportional to 6,158.48, 9,242.48 and 4,297.52 is: 6,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.48 : 9,242.48 = 4,297.52 : x
  2. Step 2: Convert to fraction form
    6,158.48/9,242.48 = 4,297.52/x
  3. Step 3: Cross multiply
    6,158.48x = 9,242.48 × 4,297.52
  4. Step 4: Simplify right side
    6,158.48x = 39,719,742.65
  5. Step 5: Solve for x
    x = 39,719,742.65/6,158.48
  6. Step 6: Final answer
    x = 6,449.60

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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.