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Finding the Fourth Proportional to 3,808.78, 5,254.57 and 2,482

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Solution

The fourth proportional to 3,808.78, 5,254.57 and 2,482 is: 3,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.78 : 5,254.57 = 2,482 : x
  2. Step 2: Convert to fraction form
    3,808.78/5,254.57 = 2,482/x
  3. Step 3: Cross multiply
    3,808.78x = 5,254.57 × 2,482
  4. Step 4: Simplify right side
    3,808.78x = 13,041,842.74
  5. Step 5: Solve for x
    x = 13,041,842.74/3,808.78
  6. Step 6: Final answer
    x = 3,424.15

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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.