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Finding the Fourth Proportional to 3,868.17, 5,788.37 and 3,349.94

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Solution

The fourth proportional to 3,868.17, 5,788.37 and 3,349.94 is: 5,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.17 : 5,788.37 = 3,349.94 : x
  2. Step 2: Convert to fraction form
    3,868.17/5,788.37 = 3,349.94/x
  3. Step 3: Cross multiply
    3,868.17x = 5,788.37 × 3,349.94
  4. Step 4: Simplify right side
    3,868.17x = 19,390,671.63
  5. Step 5: Solve for x
    x = 19,390,671.63/3,868.17
  6. Step 6: Final answer
    x = 5,012.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.