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Finding the Fourth Proportional to 4,854.69, 7,281.27 and 1,567.35

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Solution

The fourth proportional to 4,854.69, 7,281.27 and 1,567.35 is: 2,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.69 : 7,281.27 = 1,567.35 : x
  2. Step 2: Convert to fraction form
    4,854.69/7,281.27 = 1,567.35/x
  3. Step 3: Cross multiply
    4,854.69x = 7,281.27 × 1,567.35
  4. Step 4: Simplify right side
    4,854.69x = 11,412,298.53
  5. Step 5: Solve for x
    x = 11,412,298.53/4,854.69
  6. Step 6: Final answer
    x = 2,350.78

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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.