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Finding the Fourth Proportional to 3,294.50, 4,547.26 and 2,286.28

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Solution

The fourth proportional to 3,294.50, 4,547.26 and 2,286.28 is: 3,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.50 : 4,547.26 = 2,286.28 : x
  2. Step 2: Convert to fraction form
    3,294.50/4,547.26 = 2,286.28/x
  3. Step 3: Cross multiply
    3,294.50x = 4,547.26 × 2,286.28
  4. Step 4: Simplify right side
    3,294.50x = 10,396,298.99
  5. Step 5: Solve for x
    x = 10,396,298.99/3,294.50
  6. Step 6: Final answer
    x = 3,155.66

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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.