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Finding the Fourth Proportional to 3,922.03, 5,412.84 and 2,329.16

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Solution

The fourth proportional to 3,922.03, 5,412.84 and 2,329.16 is: 3,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.03 : 5,412.84 = 2,329.16 : x
  2. Step 2: Convert to fraction form
    3,922.03/5,412.84 = 2,329.16/x
  3. Step 3: Cross multiply
    3,922.03x = 5,412.84 × 2,329.16
  4. Step 4: Simplify right side
    3,922.03x = 12,607,370.41
  5. Step 5: Solve for x
    x = 12,607,370.41/3,922.03
  6. Step 6: Final answer
    x = 3,214.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.