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Finding the Fourth Proportional to 5,811.95, 8,020.51 and 3,159.36

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Solution

The fourth proportional to 5,811.95, 8,020.51 and 3,159.36 is: 4,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.95 : 8,020.51 = 3,159.36 : x
  2. Step 2: Convert to fraction form
    5,811.95/8,020.51 = 3,159.36/x
  3. Step 3: Cross multiply
    5,811.95x = 8,020.51 × 3,159.36
  4. Step 4: Simplify right side
    5,811.95x = 25,339,643.70
  5. Step 5: Solve for x
    x = 25,339,643.70/5,811.95
  6. Step 6: Final answer
    x = 4,359.92

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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.