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Finding the Fourth Proportional to 4,689.50, 6,471.52 and 2,826.86

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Solution

The fourth proportional to 4,689.50, 6,471.52 and 2,826.86 is: 3,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.50 : 6,471.52 = 2,826.86 : x
  2. Step 2: Convert to fraction form
    4,689.50/6,471.52 = 2,826.86/x
  3. Step 3: Cross multiply
    4,689.50x = 6,471.52 × 2,826.86
  4. Step 4: Simplify right side
    4,689.50x = 18,294,081.03
  5. Step 5: Solve for x
    x = 18,294,081.03/4,689.50
  6. Step 6: Final answer
    x = 3,901.07

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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.