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Finding the Fourth Proportional to 5,763.06, 7,952.85 and 4,197.78

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Solution

The fourth proportional to 5,763.06, 7,952.85 and 4,197.78 is: 5,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.06 : 7,952.85 = 4,197.78 : x
  2. Step 2: Convert to fraction form
    5,763.06/7,952.85 = 4,197.78/x
  3. Step 3: Cross multiply
    5,763.06x = 7,952.85 × 4,197.78
  4. Step 4: Simplify right side
    5,763.06x = 33,384,314.67
  5. Step 5: Solve for x
    x = 33,384,314.67/5,763.06
  6. Step 6: Final answer
    x = 5,792.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.