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Finding the Fourth Proportional to 5,170.83, 7,757.54 and 1,661.15

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Solution

The fourth proportional to 5,170.83, 7,757.54 and 1,661.15 is: 2,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.83 : 7,757.54 = 1,661.15 : x
  2. Step 2: Convert to fraction form
    5,170.83/7,757.54 = 1,661.15/x
  3. Step 3: Cross multiply
    5,170.83x = 7,757.54 × 1,661.15
  4. Step 4: Simplify right side
    5,170.83x = 12,886,454.89
  5. Step 5: Solve for x
    x = 12,886,454.89/5,170.83
  6. Step 6: Final answer
    x = 2,492.15

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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.