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Finding the Fourth Proportional to 4,165, 6,242.64 and 2,315.23

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Solution

The fourth proportional to 4,165, 6,242.64 and 2,315.23 is: 3,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 6,242.64 = 2,315.23 : x
  2. Step 2: Convert to fraction form
    4,165/6,242.64 = 2,315.23/x
  3. Step 3: Cross multiply
    4,165x = 6,242.64 × 2,315.23
  4. Step 4: Simplify right side
    4,165x = 14,453,147.41
  5. Step 5: Solve for x
    x = 14,453,147.41/4,165
  6. Step 6: Final answer
    x = 3,470.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.