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Finding the Fourth Proportional to 3,294.74, 4,547.04 and 2,116.16

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Solution

The fourth proportional to 3,294.74, 4,547.04 and 2,116.16 is: 2,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.74 : 4,547.04 = 2,116.16 : x
  2. Step 2: Convert to fraction form
    3,294.74/4,547.04 = 2,116.16/x
  3. Step 3: Cross multiply
    3,294.74x = 4,547.04 × 2,116.16
  4. Step 4: Simplify right side
    3,294.74x = 9,622,264.17
  5. Step 5: Solve for x
    x = 9,622,264.17/3,294.74
  6. Step 6: Final answer
    x = 2,920.49

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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.