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Finding the Fourth Proportional to 3,214.26, 4,435.71 and 1,972.26

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Solution

The fourth proportional to 3,214.26, 4,435.71 and 1,972.26 is: 2,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.26 : 4,435.71 = 1,972.26 : x
  2. Step 2: Convert to fraction form
    3,214.26/4,435.71 = 1,972.26/x
  3. Step 3: Cross multiply
    3,214.26x = 4,435.71 × 1,972.26
  4. Step 4: Simplify right side
    3,214.26x = 8,748,373.40
  5. Step 5: Solve for x
    x = 8,748,373.40/3,214.26
  6. Step 6: Final answer
    x = 2,721.74

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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.