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Finding the Fourth Proportional to 5,778.72, 7,974 and 3,294.72

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Solution

The fourth proportional to 5,778.72, 7,974 and 3,294.72 is: 4,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.72 : 7,974 = 3,294.72 : x
  2. Step 2: Convert to fraction form
    5,778.72/7,974 = 3,294.72/x
  3. Step 3: Cross multiply
    5,778.72x = 7,974 × 3,294.72
  4. Step 4: Simplify right side
    5,778.72x = 26,272,097.28
  5. Step 5: Solve for x
    x = 26,272,097.28/5,778.72
  6. Step 6: Final answer
    x = 4,546.35

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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.