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Finding the Fourth Proportional to 4,201.56, 5,798.04 and 2,338.56

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Solution

The fourth proportional to 4,201.56, 5,798.04 and 2,338.56 is: 3,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.56 : 5,798.04 = 2,338.56 : x
  2. Step 2: Convert to fraction form
    4,201.56/5,798.04 = 2,338.56/x
  3. Step 3: Cross multiply
    4,201.56x = 5,798.04 × 2,338.56
  4. Step 4: Simplify right side
    4,201.56x = 13,559,064.42
  5. Step 5: Solve for x
    x = 13,559,064.42/4,201.56
  6. Step 6: Final answer
    x = 3,227.15

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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.