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Finding the Fourth Proportional to 3,575.78, 4,934.55 and 2,004.20

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Solution

The fourth proportional to 3,575.78, 4,934.55 and 2,004.20 is: 2,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.78 : 4,934.55 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    3,575.78/4,934.55 = 2,004.20/x
  3. Step 3: Cross multiply
    3,575.78x = 4,934.55 × 2,004.20
  4. Step 4: Simplify right side
    3,575.78x = 9,889,825.11
  5. Step 5: Solve for x
    x = 9,889,825.11/3,575.78
  6. Step 6: Final answer
    x = 2,765.78

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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.