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Finding the Fourth Proportional to 4,103.92, 6,156.06 and 1,182.16

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Solution

The fourth proportional to 4,103.92, 6,156.06 and 1,182.16 is: 1,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.92 : 6,156.06 = 1,182.16 : x
  2. Step 2: Convert to fraction form
    4,103.92/6,156.06 = 1,182.16/x
  3. Step 3: Cross multiply
    4,103.92x = 6,156.06 × 1,182.16
  4. Step 4: Simplify right side
    4,103.92x = 7,277,447.89
  5. Step 5: Solve for x
    x = 7,277,447.89/4,103.92
  6. Step 6: Final answer
    x = 1,773.29

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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.