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Finding the Fourth Proportional to 3,294.48, 4,547.62 and 1,967.70

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Solution

The fourth proportional to 3,294.48, 4,547.62 and 1,967.70 is: 2,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.48 : 4,547.62 = 1,967.70 : x
  2. Step 2: Convert to fraction form
    3,294.48/4,547.62 = 1,967.70/x
  3. Step 3: Cross multiply
    3,294.48x = 4,547.62 × 1,967.70
  4. Step 4: Simplify right side
    3,294.48x = 8,948,351.87
  5. Step 5: Solve for x
    x = 8,948,351.87/3,294.48
  6. Step 6: Final answer
    x = 2,716.17

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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.