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Finding the Fourth Proportional to 3,853.71, 5,793.45 and 3,041.76

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Solution

The fourth proportional to 3,853.71, 5,793.45 and 3,041.76 is: 4,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.71 : 5,793.45 = 3,041.76 : x
  2. Step 2: Convert to fraction form
    3,853.71/5,793.45 = 3,041.76/x
  3. Step 3: Cross multiply
    3,853.71x = 5,793.45 × 3,041.76
  4. Step 4: Simplify right side
    3,853.71x = 17,622,284.47
  5. Step 5: Solve for x
    x = 17,622,284.47/3,853.71
  6. Step 6: Final answer
    x = 4,572.81

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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.