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Finding the Fourth Proportional to 3,854.67, 5,316.72 and 2,363.31

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Solution

The fourth proportional to 3,854.67, 5,316.72 and 2,363.31 is: 3,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.67 : 5,316.72 = 2,363.31 : x
  2. Step 2: Convert to fraction form
    3,854.67/5,316.72 = 2,363.31/x
  3. Step 3: Cross multiply
    3,854.67x = 5,316.72 × 2,363.31
  4. Step 4: Simplify right side
    3,854.67x = 12,565,057.54
  5. Step 5: Solve for x
    x = 12,565,057.54/3,854.67
  6. Step 6: Final answer
    x = 3,259.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.