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Finding the Fourth Proportional to 3,527.39, 5,291.78 and 1,579.61

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Solution

The fourth proportional to 3,527.39, 5,291.78 and 1,579.61 is: 2,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.39 : 5,291.78 = 1,579.61 : x
  2. Step 2: Convert to fraction form
    3,527.39/5,291.78 = 1,579.61/x
  3. Step 3: Cross multiply
    3,527.39x = 5,291.78 × 1,579.61
  4. Step 4: Simplify right side
    3,527.39x = 8,358,914.25
  5. Step 5: Solve for x
    x = 8,358,914.25/3,527.39
  6. Step 6: Final answer
    x = 2,369.72

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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.