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Finding the Fourth Proportional to 3,534.44, 5,301.57 and 1,069.16

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Solution

The fourth proportional to 3,534.44, 5,301.57 and 1,069.16 is: 1,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.44 : 5,301.57 = 1,069.16 : x
  2. Step 2: Convert to fraction form
    3,534.44/5,301.57 = 1,069.16/x
  3. Step 3: Cross multiply
    3,534.44x = 5,301.57 × 1,069.16
  4. Step 4: Simplify right side
    3,534.44x = 5,668,226.58
  5. Step 5: Solve for x
    x = 5,668,226.58/3,534.44
  6. Step 6: Final answer
    x = 1,603.71

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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.