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Finding the Fourth Proportional to 3,577.84, 4,934.70 and 3,134.97

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Solution

The fourth proportional to 3,577.84, 4,934.70 and 3,134.97 is: 4,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.84 : 4,934.70 = 3,134.97 : x
  2. Step 2: Convert to fraction form
    3,577.84/4,934.70 = 3,134.97/x
  3. Step 3: Cross multiply
    3,577.84x = 4,934.70 × 3,134.97
  4. Step 4: Simplify right side
    3,577.84x = 15,470,136.46
  5. Step 5: Solve for x
    x = 15,470,136.46/3,577.84
  6. Step 6: Final answer
    x = 4,323.88

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1.5x scale

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.