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Finding the Fourth Proportional to 4,931.12, 7,393.92 and 2,006

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Solution

The fourth proportional to 4,931.12, 7,393.92 and 2,006 is: 3,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.12 : 7,393.92 = 2,006 : x
  2. Step 2: Convert to fraction form
    4,931.12/7,393.92 = 2,006/x
  3. Step 3: Cross multiply
    4,931.12x = 7,393.92 × 2,006
  4. Step 4: Simplify right side
    4,931.12x = 14,832,203.52
  5. Step 5: Solve for x
    x = 14,832,203.52/4,931.12
  6. Step 6: Final answer
    x = 3,007.88

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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.