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Finding the Fourth Proportional to 3,168.72, 4,721.22 and 2,970

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Solution

The fourth proportional to 3,168.72, 4,721.22 and 2,970 is: 4,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.72 : 4,721.22 = 2,970 : x
  2. Step 2: Convert to fraction form
    3,168.72/4,721.22 = 2,970/x
  3. Step 3: Cross multiply
    3,168.72x = 4,721.22 × 2,970
  4. Step 4: Simplify right side
    3,168.72x = 14,022,023.40
  5. Step 5: Solve for x
    x = 14,022,023.40/3,168.72
  6. Step 6: Final answer
    x = 4,425.14

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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.