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Finding the Fourth Proportional to 3,868.86, 5,339.32 and 2,356.22

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Solution

The fourth proportional to 3,868.86, 5,339.32 and 2,356.22 is: 3,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.86 : 5,339.32 = 2,356.22 : x
  2. Step 2: Convert to fraction form
    3,868.86/5,339.32 = 2,356.22/x
  3. Step 3: Cross multiply
    3,868.86x = 5,339.32 × 2,356.22
  4. Step 4: Simplify right side
    3,868.86x = 12,580,612.57
  5. Step 5: Solve for x
    x = 12,580,612.57/3,868.86
  6. Step 6: Final answer
    x = 3,251.76

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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.