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Finding the Fourth Proportional to 3,441.88, 5,137.88 and 2,946.16

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Solution

The fourth proportional to 3,441.88, 5,137.88 and 2,946.16 is: 4,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.88 : 5,137.88 = 2,946.16 : x
  2. Step 2: Convert to fraction form
    3,441.88/5,137.88 = 2,946.16/x
  3. Step 3: Cross multiply
    3,441.88x = 5,137.88 × 2,946.16
  4. Step 4: Simplify right side
    3,441.88x = 15,137,016.54
  5. Step 5: Solve for x
    x = 15,137,016.54/3,441.88
  6. Step 6: Final answer
    x = 4,397.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.