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Finding the Fourth Proportional to 5,826.94, 8,741.27 and 1,876.87

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Solution

The fourth proportional to 5,826.94, 8,741.27 and 1,876.87 is: 2,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.94 : 8,741.27 = 1,876.87 : x
  2. Step 2: Convert to fraction form
    5,826.94/8,741.27 = 1,876.87/x
  3. Step 3: Cross multiply
    5,826.94x = 8,741.27 × 1,876.87
  4. Step 4: Simplify right side
    5,826.94x = 16,406,232.49
  5. Step 5: Solve for x
    x = 16,406,232.49/5,826.94
  6. Step 6: Final answer
    x = 2,815.58

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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.