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Finding the Fourth Proportional to 4,349, 6,001.80 and 2,486

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Solution

The fourth proportional to 4,349, 6,001.80 and 2,486 is: 3,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349 : 6,001.80 = 2,486 : x
  2. Step 2: Convert to fraction form
    4,349/6,001.80 = 2,486/x
  3. Step 3: Cross multiply
    4,349x = 6,001.80 × 2,486
  4. Step 4: Simplify right side
    4,349x = 14,920,474.80
  5. Step 5: Solve for x
    x = 14,920,474.80/4,349
  6. Step 6: Final answer
    x = 3,430.78

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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.