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Finding the Fourth Proportional to 3,565.74, 4,922.03 and 2,149.48

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Solution

The fourth proportional to 3,565.74, 4,922.03 and 2,149.48 is: 2,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.74 : 4,922.03 = 2,149.48 : x
  2. Step 2: Convert to fraction form
    3,565.74/4,922.03 = 2,149.48/x
  3. Step 3: Cross multiply
    3,565.74x = 4,922.03 × 2,149.48
  4. Step 4: Simplify right side
    3,565.74x = 10,579,776.79
  5. Step 5: Solve for x
    x = 10,579,776.79/3,565.74
  6. Step 6: Final answer
    x = 2,967.07

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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.