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Finding the Fourth Proportional to 3,848.79, 5,742.97 and 3,613.68

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Solution

The fourth proportional to 3,848.79, 5,742.97 and 3,613.68 is: 5,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.79 : 5,742.97 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    3,848.79/5,742.97 = 3,613.68/x
  3. Step 3: Cross multiply
    3,848.79x = 5,742.97 × 3,613.68
  4. Step 4: Simplify right side
    3,848.79x = 20,753,255.83
  5. Step 5: Solve for x
    x = 20,753,255.83/3,848.79
  6. Step 6: Final answer
    x = 5,392.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.