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Finding the Fourth Proportional to 3,854.09, 5,781.01 and 1,632.32

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Solution

The fourth proportional to 3,854.09, 5,781.01 and 1,632.32 is: 2,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.09 : 5,781.01 = 1,632.32 : x
  2. Step 2: Convert to fraction form
    3,854.09/5,781.01 = 1,632.32/x
  3. Step 3: Cross multiply
    3,854.09x = 5,781.01 × 1,632.32
  4. Step 4: Simplify right side
    3,854.09x = 9,436,421.18
  5. Step 5: Solve for x
    x = 9,436,421.18/3,854.09
  6. Step 6: Final answer
    x = 2,448.42

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