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Finding the Fourth Proportional to 4,412, 6,088.56 and 2,549

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Solution

The fourth proportional to 4,412, 6,088.56 and 2,549 is: 3,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412 : 6,088.56 = 2,549 : x
  2. Step 2: Convert to fraction form
    4,412/6,088.56 = 2,549/x
  3. Step 3: Cross multiply
    4,412x = 6,088.56 × 2,549
  4. Step 4: Simplify right side
    4,412x = 15,519,739.44
  5. Step 5: Solve for x
    x = 15,519,739.44/4,412
  6. Step 6: Final answer
    x = 3,517.62

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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.