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Finding the Fourth Proportional to 3,102.84, 4,649.04 and 2,988

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Solution

The fourth proportional to 3,102.84, 4,649.04 and 2,988 is: 4,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,649.04 = 2,988 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,649.04 = 2,988/x
  3. Step 3: Cross multiply
    3,102.84x = 4,649.04 × 2,988
  4. Step 4: Simplify right side
    3,102.84x = 13,891,331.52
  5. Step 5: Solve for x
    x = 13,891,331.52/3,102.84
  6. Step 6: Final answer
    x = 4,476.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.