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Finding the Fourth Proportional to 5,716.40, 7,888.72 and 3,478.37

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Solution

The fourth proportional to 5,716.40, 7,888.72 and 3,478.37 is: 4,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.40 : 7,888.72 = 3,478.37 : x
  2. Step 2: Convert to fraction form
    5,716.40/7,888.72 = 3,478.37/x
  3. Step 3: Cross multiply
    5,716.40x = 7,888.72 × 3,478.37
  4. Step 4: Simplify right side
    5,716.40x = 27,439,838.85
  5. Step 5: Solve for x
    x = 27,439,838.85/5,716.40
  6. Step 6: Final answer
    x = 4,800.20

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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.