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Finding the Fourth Proportional to 5,774.78, 8,662.37 and 2,264.64

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Solution

The fourth proportional to 5,774.78, 8,662.37 and 2,264.64 is: 3,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.78 : 8,662.37 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    5,774.78/8,662.37 = 2,264.64/x
  3. Step 3: Cross multiply
    5,774.78x = 8,662.37 × 2,264.64
  4. Step 4: Simplify right side
    5,774.78x = 19,617,138.27
  5. Step 5: Solve for x
    x = 19,617,138.27/5,774.78
  6. Step 6: Final answer
    x = 3,397.04

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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.