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Finding the Fourth Proportional to 3,875.90, 5,348.67 and 2,197.29

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Solution

The fourth proportional to 3,875.90, 5,348.67 and 2,197.29 is: 3,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.90 : 5,348.67 = 2,197.29 : x
  2. Step 2: Convert to fraction form
    3,875.90/5,348.67 = 2,197.29/x
  3. Step 3: Cross multiply
    3,875.90x = 5,348.67 × 2,197.29
  4. Step 4: Simplify right side
    3,875.90x = 11,752,579.10
  5. Step 5: Solve for x
    x = 11,752,579.10/3,875.90
  6. Step 6: Final answer
    x = 3,032.22

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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.