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Finding the Fourth Proportional to 5,689.77, 8,535.81 and 2,402.85

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Solution

The fourth proportional to 5,689.77, 8,535.81 and 2,402.85 is: 3,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.77 : 8,535.81 = 2,402.85 : x
  2. Step 2: Convert to fraction form
    5,689.77/8,535.81 = 2,402.85/x
  3. Step 3: Cross multiply
    5,689.77x = 8,535.81 × 2,402.85
  4. Step 4: Simplify right side
    5,689.77x = 20,510,271.06
  5. Step 5: Solve for x
    x = 20,510,271.06/5,689.77
  6. Step 6: Final answer
    x = 3,604.76

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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.