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Finding the Fourth Proportional to 3,294.78, 4,547.31 and 2,117.10

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Solution

The fourth proportional to 3,294.78, 4,547.31 and 2,117.10 is: 2,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.78 : 4,547.31 = 2,117.10 : x
  2. Step 2: Convert to fraction form
    3,294.78/4,547.31 = 2,117.10/x
  3. Step 3: Cross multiply
    3,294.78x = 4,547.31 × 2,117.10
  4. Step 4: Simplify right side
    3,294.78x = 9,627,110.00
  5. Step 5: Solve for x
    x = 9,627,110.00/3,294.78
  6. Step 6: Final answer
    x = 2,921.93

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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.