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Finding the Fourth Proportional to 5,778.84, 7,974.78 and 3,126.24

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Solution

The fourth proportional to 5,778.84, 7,974.78 and 3,126.24 is: 4,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 7,974.78 = 3,126.24 : x
  2. Step 2: Convert to fraction form
    5,778.84/7,974.78 = 3,126.24/x
  3. Step 3: Cross multiply
    5,778.84x = 7,974.78 × 3,126.24
  4. Step 4: Simplify right side
    5,778.84x = 24,931,076.23
  5. Step 5: Solve for x
    x = 24,931,076.23/5,778.84
  6. Step 6: Final answer
    x = 4,314.20

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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.