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Finding the Fourth Proportional to 4,166.84, 6,247.16 and 2,523

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Solution

The fourth proportional to 4,166.84, 6,247.16 and 2,523 is: 3,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.84 : 6,247.16 = 2,523 : x
  2. Step 2: Convert to fraction form
    4,166.84/6,247.16 = 2,523/x
  3. Step 3: Cross multiply
    4,166.84x = 6,247.16 × 2,523
  4. Step 4: Simplify right side
    4,166.84x = 15,761,572.07
  5. Step 5: Solve for x
    x = 15,761,572.07/4,166.84
  6. Step 6: Final answer
    x = 3,782.62

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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.