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Finding the Fourth Proportional to 3,523.29, 5,280.40 and 1,329.40

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Solution

The fourth proportional to 3,523.29, 5,280.40 and 1,329.40 is: 1,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.29 : 5,280.40 = 1,329.40 : x
  2. Step 2: Convert to fraction form
    3,523.29/5,280.40 = 1,329.40/x
  3. Step 3: Cross multiply
    3,523.29x = 5,280.40 × 1,329.40
  4. Step 4: Simplify right side
    3,523.29x = 7,019,763.76
  5. Step 5: Solve for x
    x = 7,019,763.76/3,523.29
  6. Step 6: Final answer
    x = 1,992.39

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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.