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Finding the Fourth Proportional to 4,301.70, 6,452.55 and 4,046.55

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Solution

The fourth proportional to 4,301.70, 6,452.55 and 4,046.55 is: 6,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.70 : 6,452.55 = 4,046.55 : x
  2. Step 2: Convert to fraction form
    4,301.70/6,452.55 = 4,046.55/x
  3. Step 3: Cross multiply
    4,301.70x = 6,452.55 × 4,046.55
  4. Step 4: Simplify right side
    4,301.70x = 26,110,566.20
  5. Step 5: Solve for x
    x = 26,110,566.20/4,301.70
  6. Step 6: Final answer
    x = 6,069.83

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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.