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Finding the Fourth Proportional to 5,716.05, 7,888.71 and 3,478.08

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Solution

The fourth proportional to 5,716.05, 7,888.71 and 3,478.08 is: 4,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.05 : 7,888.71 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    5,716.05/7,888.71 = 3,478.08/x
  3. Step 3: Cross multiply
    5,716.05x = 7,888.71 × 3,478.08
  4. Step 4: Simplify right side
    5,716.05x = 27,437,564.48
  5. Step 5: Solve for x
    x = 27,437,564.48/5,716.05
  6. Step 6: Final answer
    x = 4,800.09

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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.