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Finding the Fourth Proportional to 4,957.30, 7,433.10 and 2,034

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Solution

The fourth proportional to 4,957.30, 7,433.10 and 2,034 is: 3,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.30 : 7,433.10 = 2,034 : x
  2. Step 2: Convert to fraction form
    4,957.30/7,433.10 = 2,034/x
  3. Step 3: Cross multiply
    4,957.30x = 7,433.10 × 2,034
  4. Step 4: Simplify right side
    4,957.30x = 15,118,925.40
  5. Step 5: Solve for x
    x = 15,118,925.40/4,957.30
  6. Step 6: Final answer
    x = 3,049.83

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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.