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Finding the Fourth Proportional to 3,159.05, 4,738.57 and 850.55

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Solution

The fourth proportional to 3,159.05, 4,738.57 and 850.55 is: 1,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.05 : 4,738.57 = 850.55 : x
  2. Step 2: Convert to fraction form
    3,159.05/4,738.57 = 850.55/x
  3. Step 3: Cross multiply
    3,159.05x = 4,738.57 × 850.55
  4. Step 4: Simplify right side
    3,159.05x = 4,030,364.89
  5. Step 5: Solve for x
    x = 4,030,364.89/3,159.05
  6. Step 6: Final answer
    x = 1,275.82

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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.