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Finding the Fourth Proportional to 6,169.65, 8,515.17 and 4,043.40

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Solution

The fourth proportional to 6,169.65, 8,515.17 and 4,043.40 is: 5,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.65 : 8,515.17 = 4,043.40 : x
  2. Step 2: Convert to fraction form
    6,169.65/8,515.17 = 4,043.40/x
  3. Step 3: Cross multiply
    6,169.65x = 8,515.17 × 4,043.40
  4. Step 4: Simplify right side
    6,169.65x = 34,430,238.38
  5. Step 5: Solve for x
    x = 34,430,238.38/6,169.65
  6. Step 6: Final answer
    x = 5,580.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.