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Finding the Fourth Proportional to 3,913.38, 5,400.32 and 2,235.32

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Solution

The fourth proportional to 3,913.38, 5,400.32 and 2,235.32 is: 3,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.38 : 5,400.32 = 2,235.32 : x
  2. Step 2: Convert to fraction form
    3,913.38/5,400.32 = 2,235.32/x
  3. Step 3: Cross multiply
    3,913.38x = 5,400.32 × 2,235.32
  4. Step 4: Simplify right side
    3,913.38x = 12,071,443.30
  5. Step 5: Solve for x
    x = 12,071,443.30/3,913.38
  6. Step 6: Final answer
    x = 3,084.66

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Why These Related Problems?

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