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Finding the Fourth Proportional to 3,148.89, 4,742.07 and 2,742.92

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Solution

The fourth proportional to 3,148.89, 4,742.07 and 2,742.92 is: 4,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.89 : 4,742.07 = 2,742.92 : x
  2. Step 2: Convert to fraction form
    3,148.89/4,742.07 = 2,742.92/x
  3. Step 3: Cross multiply
    3,148.89x = 4,742.07 × 2,742.92
  4. Step 4: Simplify right side
    3,148.89x = 13,007,118.64
  5. Step 5: Solve for x
    x = 13,007,118.64/3,148.89
  6. Step 6: Final answer
    x = 4,130.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.