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Finding the Fourth Proportional to 5,716.40, 7,888.48 and 3,232.40

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Solution

The fourth proportional to 5,716.40, 7,888.48 and 3,232.40 is: 4,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.40 : 7,888.48 = 3,232.40 : x
  2. Step 2: Convert to fraction form
    5,716.40/7,888.48 = 3,232.40/x
  3. Step 3: Cross multiply
    5,716.40x = 7,888.48 × 3,232.40
  4. Step 4: Simplify right side
    5,716.40x = 25,498,722.75
  5. Step 5: Solve for x
    x = 25,498,722.75/5,716.40
  6. Step 6: Final answer
    x = 4,460.63

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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.