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Finding the Fourth Proportional to 3,691.76, 5,106.48 and 3,101.36

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Solution

The fourth proportional to 3,691.76, 5,106.48 and 3,101.36 is: 4,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.76 : 5,106.48 = 3,101.36 : x
  2. Step 2: Convert to fraction form
    3,691.76/5,106.48 = 3,101.36/x
  3. Step 3: Cross multiply
    3,691.76x = 5,106.48 × 3,101.36
  4. Step 4: Simplify right side
    3,691.76x = 15,837,032.81
  5. Step 5: Solve for x
    x = 15,837,032.81/3,691.76
  6. Step 6: Final answer
    x = 4,289.83

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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.