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Finding the Fourth Proportional to 4,854.62, 7,283.34 and 1,567.64

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Solution

The fourth proportional to 4,854.62, 7,283.34 and 1,567.64 is: 2,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.62 : 7,283.34 = 1,567.64 : x
  2. Step 2: Convert to fraction form
    4,854.62/7,283.34 = 1,567.64/x
  3. Step 3: Cross multiply
    4,854.62x = 7,283.34 × 1,567.64
  4. Step 4: Simplify right side
    4,854.62x = 11,417,618.70
  5. Step 5: Solve for x
    x = 11,417,618.70/4,854.62
  6. Step 6: Final answer
    x = 2,351.91

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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.