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Finding the Fourth Proportional to 3,642.64, 5,027.07 and 2,071.24

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Solution

The fourth proportional to 3,642.64, 5,027.07 and 2,071.24 is: 2,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.64 : 5,027.07 = 2,071.24 : x
  2. Step 2: Convert to fraction form
    3,642.64/5,027.07 = 2,071.24/x
  3. Step 3: Cross multiply
    3,642.64x = 5,027.07 × 2,071.24
  4. Step 4: Simplify right side
    3,642.64x = 10,412,268.47
  5. Step 5: Solve for x
    x = 10,412,268.47/3,642.64
  6. Step 6: Final answer
    x = 2,858.44

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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.