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Finding the Fourth Proportional to 4,291.52, 6,439.08 and 1,826.87

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Solution

The fourth proportional to 4,291.52, 6,439.08 and 1,826.87 is: 2,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.52 : 6,439.08 = 1,826.87 : x
  2. Step 2: Convert to fraction form
    4,291.52/6,439.08 = 1,826.87/x
  3. Step 3: Cross multiply
    4,291.52x = 6,439.08 × 1,826.87
  4. Step 4: Simplify right side
    4,291.52x = 11,763,362.08
  5. Step 5: Solve for x
    x = 11,763,362.08/4,291.52
  6. Step 6: Final answer
    x = 2,741.07

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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.