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Finding the Fourth Proportional to 4,449.72, 6,142.86 and 4,208.52

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Solution

The fourth proportional to 4,449.72, 6,142.86 and 4,208.52 is: 5,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.72 : 6,142.86 = 4,208.52 : x
  2. Step 2: Convert to fraction form
    4,449.72/6,142.86 = 4,208.52/x
  3. Step 3: Cross multiply
    4,449.72x = 6,142.86 × 4,208.52
  4. Step 4: Simplify right side
    4,449.72x = 25,852,349.17
  5. Step 5: Solve for x
    x = 25,852,349.17/4,449.72
  6. Step 6: Final answer
    x = 5,809.88

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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.