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Finding the Fourth Proportional to 4,957.02, 7,433.78 and 1,446.06

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Solution

The fourth proportional to 4,957.02, 7,433.78 and 1,446.06 is: 2,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.02 : 7,433.78 = 1,446.06 : x
  2. Step 2: Convert to fraction form
    4,957.02/7,433.78 = 1,446.06/x
  3. Step 3: Cross multiply
    4,957.02x = 7,433.78 × 1,446.06
  4. Step 4: Simplify right side
    4,957.02x = 10,749,691.91
  5. Step 5: Solve for x
    x = 10,749,691.91/4,957.02
  6. Step 6: Final answer
    x = 2,168.58

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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.