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Finding the Fourth Proportional to 4,600.42, 6,349.40 and 2,711.89

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Solution

The fourth proportional to 4,600.42, 6,349.40 and 2,711.89 is: 3,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.42 : 6,349.40 = 2,711.89 : x
  2. Step 2: Convert to fraction form
    4,600.42/6,349.40 = 2,711.89/x
  3. Step 3: Cross multiply
    4,600.42x = 6,349.40 × 2,711.89
  4. Step 4: Simplify right side
    4,600.42x = 17,218,842.62
  5. Step 5: Solve for x
    x = 17,218,842.62/4,600.42
  6. Step 6: Final answer
    x = 3,742.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.