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Finding the Fourth Proportional to 3,534.55, 5,301.87 and 1,069.39

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Solution

The fourth proportional to 3,534.55, 5,301.87 and 1,069.39 is: 1,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.55 : 5,301.87 = 1,069.39 : x
  2. Step 2: Convert to fraction form
    3,534.55/5,301.87 = 1,069.39/x
  3. Step 3: Cross multiply
    3,534.55x = 5,301.87 × 1,069.39
  4. Step 4: Simplify right side
    3,534.55x = 5,669,766.76
  5. Step 5: Solve for x
    x = 5,669,766.76/3,534.55
  6. Step 6: Final answer
    x = 1,604.10

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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.