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Finding the Fourth Proportional to 4,069.52, 6,106.20 and 1,471.76

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Solution

The fourth proportional to 4,069.52, 6,106.20 and 1,471.76 is: 2,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.52 : 6,106.20 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    4,069.52/6,106.20 = 1,471.76/x
  3. Step 3: Cross multiply
    4,069.52x = 6,106.20 × 1,471.76
  4. Step 4: Simplify right side
    4,069.52x = 8,986,860.91
  5. Step 5: Solve for x
    x = 8,986,860.91/4,069.52
  6. Step 6: Final answer
    x = 2,208.33

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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.