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Finding the Fourth Proportional to 3,548.31, 5,320.11 and 1,988.46

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Solution

The fourth proportional to 3,548.31, 5,320.11 and 1,988.46 is: 2,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.31 : 5,320.11 = 1,988.46 : x
  2. Step 2: Convert to fraction form
    3,548.31/5,320.11 = 1,988.46/x
  3. Step 3: Cross multiply
    3,548.31x = 5,320.11 × 1,988.46
  4. Step 4: Simplify right side
    3,548.31x = 10,578,825.93
  5. Step 5: Solve for x
    x = 10,578,825.93/3,548.31
  6. Step 6: Final answer
    x = 2,981.37

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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.