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Finding the Fourth Proportional to 3,540.07, 5,311.55 and 1,564.65

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Solution

The fourth proportional to 3,540.07, 5,311.55 and 1,564.65 is: 2,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.07 : 5,311.55 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    3,540.07/5,311.55 = 1,564.65/x
  3. Step 3: Cross multiply
    3,540.07x = 5,311.55 × 1,564.65
  4. Step 4: Simplify right side
    3,540.07x = 8,310,716.71
  5. Step 5: Solve for x
    x = 8,310,716.71/3,540.07
  6. Step 6: Final answer
    x = 2,347.62

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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.