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Finding the Fourth Proportional to 3,788.88, 5,684.34 and 1,156.38

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Solution

The fourth proportional to 3,788.88, 5,684.34 and 1,156.38 is: 1,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.88 : 5,684.34 = 1,156.38 : x
  2. Step 2: Convert to fraction form
    3,788.88/5,684.34 = 1,156.38/x
  3. Step 3: Cross multiply
    3,788.88x = 5,684.34 × 1,156.38
  4. Step 4: Simplify right side
    3,788.88x = 6,573,257.09
  5. Step 5: Solve for x
    x = 6,573,257.09/3,788.88
  6. Step 6: Final answer
    x = 1,734.88

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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.