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Finding the Fourth Proportional to 3,530.88, 5,292.16 and 1,449.85

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Solution

The fourth proportional to 3,530.88, 5,292.16 and 1,449.85 is: 2,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.88 : 5,292.16 = 1,449.85 : x
  2. Step 2: Convert to fraction form
    3,530.88/5,292.16 = 1,449.85/x
  3. Step 3: Cross multiply
    3,530.88x = 5,292.16 × 1,449.85
  4. Step 4: Simplify right side
    3,530.88x = 7,672,838.18
  5. Step 5: Solve for x
    x = 7,672,838.18/3,530.88
  6. Step 6: Final answer
    x = 2,173.07

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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.