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Finding the Fourth Proportional to 4,149.84, 5,727.30 and 2,382

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Solution

The fourth proportional to 4,149.84, 5,727.30 and 2,382 is: 3,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.84 : 5,727.30 = 2,382 : x
  2. Step 2: Convert to fraction form
    4,149.84/5,727.30 = 2,382/x
  3. Step 3: Cross multiply
    4,149.84x = 5,727.30 × 2,382
  4. Step 4: Simplify right side
    4,149.84x = 13,642,428.60
  5. Step 5: Solve for x
    x = 13,642,428.60/4,149.84
  6. Step 6: Final answer
    x = 3,287.46

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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.