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Finding the Fourth Proportional to 5,807.95, 8,713.59 and 2,109.18

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Solution

The fourth proportional to 5,807.95, 8,713.59 and 2,109.18 is: 3,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.95 : 8,713.59 = 2,109.18 : x
  2. Step 2: Convert to fraction form
    5,807.95/8,713.59 = 2,109.18/x
  3. Step 3: Cross multiply
    5,807.95x = 8,713.59 × 2,109.18
  4. Step 4: Simplify right side
    5,807.95x = 18,378,529.76
  5. Step 5: Solve for x
    x = 18,378,529.76/5,807.95
  6. Step 6: Final answer
    x = 3,164.38

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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.