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Finding the Fourth Proportional to 4,488.41, 6,732.63 and 1,566.71

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Solution

The fourth proportional to 4,488.41, 6,732.63 and 1,566.71 is: 2,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.41 : 6,732.63 = 1,566.71 : x
  2. Step 2: Convert to fraction form
    4,488.41/6,732.63 = 1,566.71/x
  3. Step 3: Cross multiply
    4,488.41x = 6,732.63 × 1,566.71
  4. Step 4: Simplify right side
    4,488.41x = 10,548,078.75
  5. Step 5: Solve for x
    x = 10,548,078.75/4,488.41
  6. Step 6: Final answer
    x = 2,350.07

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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.