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Finding the Fourth Proportional to 3,523.69, 5,287.56 and 1,575.64

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Solution

The fourth proportional to 3,523.69, 5,287.56 and 1,575.64 is: 2,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.69 : 5,287.56 = 1,575.64 : x
  2. Step 2: Convert to fraction form
    3,523.69/5,287.56 = 1,575.64/x
  3. Step 3: Cross multiply
    3,523.69x = 5,287.56 × 1,575.64
  4. Step 4: Simplify right side
    3,523.69x = 8,331,291.04
  5. Step 5: Solve for x
    x = 8,331,291.04/3,523.69
  6. Step 6: Final answer
    x = 2,364.37

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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.