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Finding the Fourth Proportional to 4,449, 6,139.98 and 2,586.36

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Solution

The fourth proportional to 4,449, 6,139.98 and 2,586.36 is: 3,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449 : 6,139.98 = 2,586.36 : x
  2. Step 2: Convert to fraction form
    4,449/6,139.98 = 2,586.36/x
  3. Step 3: Cross multiply
    4,449x = 6,139.98 × 2,586.36
  4. Step 4: Simplify right side
    4,449x = 15,880,198.67
  5. Step 5: Solve for x
    x = 15,880,198.67/4,449
  6. Step 6: Final answer
    x = 3,569.39

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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.