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Finding the Fourth Proportional to 3,534.78, 5,294.88 and 2,069.52

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Solution

The fourth proportional to 3,534.78, 5,294.88 and 2,069.52 is: 3,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.78 : 5,294.88 = 2,069.52 : x
  2. Step 2: Convert to fraction form
    3,534.78/5,294.88 = 2,069.52/x
  3. Step 3: Cross multiply
    3,534.78x = 5,294.88 × 2,069.52
  4. Step 4: Simplify right side
    3,534.78x = 10,957,860.06
  5. Step 5: Solve for x
    x = 10,957,860.06/3,534.78
  6. Step 6: Final answer
    x = 3,100.01

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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.