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Finding the Fourth Proportional to 3,547.71, 5,319.79 and 2,067.42

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Solution

The fourth proportional to 3,547.71, 5,319.79 and 2,067.42 is: 3,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.71 : 5,319.79 = 2,067.42 : x
  2. Step 2: Convert to fraction form
    3,547.71/5,319.79 = 2,067.42/x
  3. Step 3: Cross multiply
    3,547.71x = 5,319.79 × 2,067.42
  4. Step 4: Simplify right side
    3,547.71x = 10,998,240.24
  5. Step 5: Solve for x
    x = 10,998,240.24/3,547.71
  6. Step 6: Final answer
    x = 3,100.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.