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Finding the Fourth Proportional to 5,155.96, 7,731.16 and 1,645

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Solution

The fourth proportional to 5,155.96, 7,731.16 and 1,645 is: 2,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.96 : 7,731.16 = 1,645 : x
  2. Step 2: Convert to fraction form
    5,155.96/7,731.16 = 1,645/x
  3. Step 3: Cross multiply
    5,155.96x = 7,731.16 × 1,645
  4. Step 4: Simplify right side
    5,155.96x = 12,717,758.20
  5. Step 5: Solve for x
    x = 12,717,758.20/5,155.96
  6. Step 6: Final answer
    x = 2,466.61

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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.