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Finding the Fourth Proportional to 3,159.95, 4,729.59 and 2,856.80

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Solution

The fourth proportional to 3,159.95, 4,729.59 and 2,856.80 is: 4,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.95 : 4,729.59 = 2,856.80 : x
  2. Step 2: Convert to fraction form
    3,159.95/4,729.59 = 2,856.80/x
  3. Step 3: Cross multiply
    3,159.95x = 4,729.59 × 2,856.80
  4. Step 4: Simplify right side
    3,159.95x = 13,511,504.54
  5. Step 5: Solve for x
    x = 13,511,504.54/3,159.95
  6. Step 6: Final answer
    x = 4,275.87

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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.