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Finding the Fourth Proportional to 3,743.32, 5,164.86 and 2,326.36

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Solution

The fourth proportional to 3,743.32, 5,164.86 and 2,326.36 is: 3,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.32 : 5,164.86 = 2,326.36 : x
  2. Step 2: Convert to fraction form
    3,743.32/5,164.86 = 2,326.36/x
  3. Step 3: Cross multiply
    3,743.32x = 5,164.86 × 2,326.36
  4. Step 4: Simplify right side
    3,743.32x = 12,015,323.71
  5. Step 5: Solve for x
    x = 12,015,323.71/3,743.32
  6. Step 6: Final answer
    x = 3,209.80

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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.