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Finding the Fourth Proportional to 4,103.68, 6,160.97 and 1,913.94

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Solution

The fourth proportional to 4,103.68, 6,160.97 and 1,913.94 is: 2,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.68 : 6,160.97 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    4,103.68/6,160.97 = 1,913.94/x
  3. Step 3: Cross multiply
    4,103.68x = 6,160.97 × 1,913.94
  4. Step 4: Simplify right side
    4,103.68x = 11,791,726.92
  5. Step 5: Solve for x
    x = 11,791,726.92/4,103.68
  6. Step 6: Final answer
    x = 2,873.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.