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Finding the Fourth Proportional to 5,141.04, 7,711.83 and 1,856.22

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Solution

The fourth proportional to 5,141.04, 7,711.83 and 1,856.22 is: 2,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.04 : 7,711.83 = 1,856.22 : x
  2. Step 2: Convert to fraction form
    5,141.04/7,711.83 = 1,856.22/x
  3. Step 3: Cross multiply
    5,141.04x = 7,711.83 × 1,856.22
  4. Step 4: Simplify right side
    5,141.04x = 14,314,853.08
  5. Step 5: Solve for x
    x = 14,314,853.08/5,141.04
  6. Step 6: Final answer
    x = 2,784.43

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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.