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Finding the Fourth Proportional to 3,459.72, 4,770.65 and 2,338.71

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Solution

The fourth proportional to 3,459.72, 4,770.65 and 2,338.71 is: 3,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.72 : 4,770.65 = 2,338.71 : x
  2. Step 2: Convert to fraction form
    3,459.72/4,770.65 = 2,338.71/x
  3. Step 3: Cross multiply
    3,459.72x = 4,770.65 × 2,338.71
  4. Step 4: Simplify right side
    3,459.72x = 11,157,155.17
  5. Step 5: Solve for x
    x = 11,157,155.17/3,459.72
  6. Step 6: Final answer
    x = 3,224.87

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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.