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Finding the Fourth Proportional to 3,547.26, 4,894.47 and 2,371.68

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Solution

The fourth proportional to 3,547.26, 4,894.47 and 2,371.68 is: 3,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.26 : 4,894.47 = 2,371.68 : x
  2. Step 2: Convert to fraction form
    3,547.26/4,894.47 = 2,371.68/x
  3. Step 3: Cross multiply
    3,547.26x = 4,894.47 × 2,371.68
  4. Step 4: Simplify right side
    3,547.26x = 11,608,116.61
  5. Step 5: Solve for x
    x = 11,608,116.61/3,547.26
  6. Step 6: Final answer
    x = 3,272.42

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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.