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Finding the Fourth Proportional to 3,934.35, 5,429.16 and 2,363.31

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Solution

The fourth proportional to 3,934.35, 5,429.16 and 2,363.31 is: 3,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.35 : 5,429.16 = 2,363.31 : x
  2. Step 2: Convert to fraction form
    3,934.35/5,429.16 = 2,363.31/x
  3. Step 3: Cross multiply
    3,934.35x = 5,429.16 × 2,363.31
  4. Step 4: Simplify right side
    3,934.35x = 12,830,788.12
  5. Step 5: Solve for x
    x = 12,830,788.12/3,934.35
  6. Step 6: Final answer
    x = 3,261.22

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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.