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Finding the Fourth Proportional to 4,655.52, 6,427.89 and 3,826.08

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Solution

The fourth proportional to 4,655.52, 6,427.89 and 3,826.08 is: 5,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.52 : 6,427.89 = 3,826.08 : x
  2. Step 2: Convert to fraction form
    4,655.52/6,427.89 = 3,826.08/x
  3. Step 3: Cross multiply
    4,655.52x = 6,427.89 × 3,826.08
  4. Step 4: Simplify right side
    4,655.52x = 24,593,621.37
  5. Step 5: Solve for x
    x = 24,593,621.37/4,655.52
  6. Step 6: Final answer
    x = 5,282.68

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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.