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Finding the Fourth Proportional to 3,526.52, 5,290.38 and 1,447.65

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Solution

The fourth proportional to 3,526.52, 5,290.38 and 1,447.65 is: 2,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.52 : 5,290.38 = 1,447.65 : x
  2. Step 2: Convert to fraction form
    3,526.52/5,290.38 = 1,447.65/x
  3. Step 3: Cross multiply
    3,526.52x = 5,290.38 × 1,447.65
  4. Step 4: Simplify right side
    3,526.52x = 7,658,618.61
  5. Step 5: Solve for x
    x = 7,658,618.61/3,526.52
  6. Step 6: Final answer
    x = 2,171.72

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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.