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Finding the Fourth Proportional to 3,634.49, 5,448.40 and 1,292.90

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Solution

The fourth proportional to 3,634.49, 5,448.40 and 1,292.90 is: 1,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.49 : 5,448.40 = 1,292.90 : x
  2. Step 2: Convert to fraction form
    3,634.49/5,448.40 = 1,292.90/x
  3. Step 3: Cross multiply
    3,634.49x = 5,448.40 × 1,292.90
  4. Step 4: Simplify right side
    3,634.49x = 7,044,205.89
  5. Step 5: Solve for x
    x = 7,044,205.89/3,634.49
  6. Step 6: Final answer
    x = 1,938.15

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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.