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Finding the Fourth Proportional to 5,140.24, 7,710.84 and 2,367.68

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Solution

The fourth proportional to 5,140.24, 7,710.84 and 2,367.68 is: 3,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.24 : 7,710.84 = 2,367.68 : x
  2. Step 2: Convert to fraction form
    5,140.24/7,710.84 = 2,367.68/x
  3. Step 3: Cross multiply
    5,140.24x = 7,710.84 × 2,367.68
  4. Step 4: Simplify right side
    5,140.24x = 18,256,801.65
  5. Step 5: Solve for x
    x = 18,256,801.65/5,140.24
  6. Step 6: Final answer
    x = 3,551.74

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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.