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Finding the Fourth Proportional to 4,854.30, 7,282.17 and 1,566.78

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Solution

The fourth proportional to 4,854.30, 7,282.17 and 1,566.78 is: 2,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.30 : 7,282.17 = 1,566.78 : x
  2. Step 2: Convert to fraction form
    4,854.30/7,282.17 = 1,566.78/x
  3. Step 3: Cross multiply
    4,854.30x = 7,282.17 × 1,566.78
  4. Step 4: Simplify right side
    4,854.30x = 11,409,558.31
  5. Step 5: Solve for x
    x = 11,409,558.31/4,854.30
  6. Step 6: Final answer
    x = 2,350.40

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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.