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Finding the Fourth Proportional to 3,565.79, 5,350.97 and 1,923.47

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Solution

The fourth proportional to 3,565.79, 5,350.97 and 1,923.47 is: 2,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.79 : 5,350.97 = 1,923.47 : x
  2. Step 2: Convert to fraction form
    3,565.79/5,350.97 = 1,923.47/x
  3. Step 3: Cross multiply
    3,565.79x = 5,350.97 × 1,923.47
  4. Step 4: Simplify right side
    3,565.79x = 10,292,408.32
  5. Step 5: Solve for x
    x = 10,292,408.32/3,565.79
  6. Step 6: Final answer
    x = 2,886.44

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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.