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Finding the Fourth Proportional to 3,534.47, 5,302.32 and 1,069.09

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Solution

The fourth proportional to 3,534.47, 5,302.32 and 1,069.09 is: 1,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.47 : 5,302.32 = 1,069.09 : x
  2. Step 2: Convert to fraction form
    3,534.47/5,302.32 = 1,069.09/x
  3. Step 3: Cross multiply
    3,534.47x = 5,302.32 × 1,069.09
  4. Step 4: Simplify right side
    3,534.47x = 5,668,657.29
  5. Step 5: Solve for x
    x = 5,668,657.29/3,534.47
  6. Step 6: Final answer
    x = 1,603.82

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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.