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Finding the Fourth Proportional to 4,197.25, 5,750.28 and 4,039.64

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Solution

The fourth proportional to 4,197.25, 5,750.28 and 4,039.64 is: 5,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.25 : 5,750.28 = 4,039.64 : x
  2. Step 2: Convert to fraction form
    4,197.25/5,750.28 = 4,039.64/x
  3. Step 3: Cross multiply
    4,197.25x = 5,750.28 × 4,039.64
  4. Step 4: Simplify right side
    4,197.25x = 23,229,061.10
  5. Step 5: Solve for x
    x = 23,229,061.10/4,197.25
  6. Step 6: Final answer
    x = 5,534.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.