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Finding the Fourth Proportional to 3,897.32, 5,378.40 and 2,326.32

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Solution

The fourth proportional to 3,897.32, 5,378.40 and 2,326.32 is: 3,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.32 : 5,378.40 = 2,326.32 : x
  2. Step 2: Convert to fraction form
    3,897.32/5,378.40 = 2,326.32/x
  3. Step 3: Cross multiply
    3,897.32x = 5,378.40 × 2,326.32
  4. Step 4: Simplify right side
    3,897.32x = 12,511,879.49
  5. Step 5: Solve for x
    x = 12,511,879.49/3,897.32
  6. Step 6: Final answer
    x = 3,210.38

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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.