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Finding the Fourth Proportional to 3,489.97, 5,236.40 and 1,411.45

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Solution

The fourth proportional to 3,489.97, 5,236.40 and 1,411.45 is: 2,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.97 : 5,236.40 = 1,411.45 : x
  2. Step 2: Convert to fraction form
    3,489.97/5,236.40 = 1,411.45/x
  3. Step 3: Cross multiply
    3,489.97x = 5,236.40 × 1,411.45
  4. Step 4: Simplify right side
    3,489.97x = 7,390,916.78
  5. Step 5: Solve for x
    x = 7,390,916.78/3,489.97
  6. Step 6: Final answer
    x = 2,117.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.