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Finding the Fourth Proportional to 4,842.16, 6,684.40 and 3,722.71

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Solution

The fourth proportional to 4,842.16, 6,684.40 and 3,722.71 is: 5,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.16 : 6,684.40 = 3,722.71 : x
  2. Step 2: Convert to fraction form
    4,842.16/6,684.40 = 3,722.71/x
  3. Step 3: Cross multiply
    4,842.16x = 6,684.40 × 3,722.71
  4. Step 4: Simplify right side
    4,842.16x = 24,884,072.73
  5. Step 5: Solve for x
    x = 24,884,072.73/4,842.16
  6. Step 6: Final answer
    x = 5,139.04

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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.