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Finding the Fourth Proportional to 4,854.54, 7,282.80 and 1,567.56

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Solution

The fourth proportional to 4,854.54, 7,282.80 and 1,567.56 is: 2,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.54 : 7,282.80 = 1,567.56 : x
  2. Step 2: Convert to fraction form
    4,854.54/7,282.80 = 1,567.56/x
  3. Step 3: Cross multiply
    4,854.54x = 7,282.80 × 1,567.56
  4. Step 4: Simplify right side
    4,854.54x = 11,416,225.97
  5. Step 5: Solve for x
    x = 11,416,225.97/4,854.54
  6. Step 6: Final answer
    x = 2,351.66

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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.