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Finding the Fourth Proportional to 4,170.76, 5,756.42 and 2,678.44

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Solution

The fourth proportional to 4,170.76, 5,756.42 and 2,678.44 is: 3,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.76 : 5,756.42 = 2,678.44 : x
  2. Step 2: Convert to fraction form
    4,170.76/5,756.42 = 2,678.44/x
  3. Step 3: Cross multiply
    4,170.76x = 5,756.42 × 2,678.44
  4. Step 4: Simplify right side
    4,170.76x = 15,418,225.58
  5. Step 5: Solve for x
    x = 15,418,225.58/4,170.76
  6. Step 6: Final answer
    x = 3,696.74

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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.