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Finding the Fourth Proportional to 3,565.78, 5,350.29 and 1,835.62

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Solution

The fourth proportional to 3,565.78, 5,350.29 and 1,835.62 is: 2,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.78 : 5,350.29 = 1,835.62 : x
  2. Step 2: Convert to fraction form
    3,565.78/5,350.29 = 1,835.62/x
  3. Step 3: Cross multiply
    3,565.78x = 5,350.29 × 1,835.62
  4. Step 4: Simplify right side
    3,565.78x = 9,821,079.07
  5. Step 5: Solve for x
    x = 9,821,079.07/3,565.78
  6. Step 6: Final answer
    x = 2,754.26

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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.