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Finding the Fourth Proportional to 5,774.97, 8,662.70 and 2,264.66

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Solution

The fourth proportional to 5,774.97, 8,662.70 and 2,264.66 is: 3,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.97 : 8,662.70 = 2,264.66 : x
  2. Step 2: Convert to fraction form
    5,774.97/8,662.70 = 2,264.66/x
  3. Step 3: Cross multiply
    5,774.97x = 8,662.70 × 2,264.66
  4. Step 4: Simplify right side
    5,774.97x = 19,618,085.93
  5. Step 5: Solve for x
    x = 19,618,085.93/5,774.97
  6. Step 6: Final answer
    x = 3,397.09

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1.5x scale

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.