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Finding the Fourth Proportional to 4,854.20, 7,281.84 and 1,775.48

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Solution

The fourth proportional to 4,854.20, 7,281.84 and 1,775.48 is: 2,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.20 : 7,281.84 = 1,775.48 : x
  2. Step 2: Convert to fraction form
    4,854.20/7,281.84 = 1,775.48/x
  3. Step 3: Cross multiply
    4,854.20x = 7,281.84 × 1,775.48
  4. Step 4: Simplify right side
    4,854.20x = 12,928,761.28
  5. Step 5: Solve for x
    x = 12,928,761.28/4,854.20
  6. Step 6: Final answer
    x = 2,663.42

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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.