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Finding the Fourth Proportional to 3,662.88, 5,494.32 and 3,114.24

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Solution

The fourth proportional to 3,662.88, 5,494.32 and 3,114.24 is: 4,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.88 : 5,494.32 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    3,662.88/5,494.32 = 3,114.24/x
  3. Step 3: Cross multiply
    3,662.88x = 5,494.32 × 3,114.24
  4. Step 4: Simplify right side
    3,662.88x = 17,110,631.12
  5. Step 5: Solve for x
    x = 17,110,631.12/3,662.88
  6. Step 6: Final answer
    x = 4,671.36

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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.