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Finding the Fourth Proportional to 4,156, 6,233.99 and 2,423.41

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Solution

The fourth proportional to 4,156, 6,233.99 and 2,423.41 is: 3,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156 : 6,233.99 = 2,423.41 : x
  2. Step 2: Convert to fraction form
    4,156/6,233.99 = 2,423.41/x
  3. Step 3: Cross multiply
    4,156x = 6,233.99 × 2,423.41
  4. Step 4: Simplify right side
    4,156x = 15,107,513.71
  5. Step 5: Solve for x
    x = 15,107,513.71/4,156
  6. Step 6: Final answer
    x = 3,635.11

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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.