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Finding the Fourth Proportional to 5,465.62, 8,202.80 and 2,833.87

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Solution

The fourth proportional to 5,465.62, 8,202.80 and 2,833.87 is: 4,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.62 : 8,202.80 = 2,833.87 : x
  2. Step 2: Convert to fraction form
    5,465.62/8,202.80 = 2,833.87/x
  3. Step 3: Cross multiply
    5,465.62x = 8,202.80 × 2,833.87
  4. Step 4: Simplify right side
    5,465.62x = 23,245,689.34
  5. Step 5: Solve for x
    x = 23,245,689.34/5,465.62
  6. Step 6: Final answer
    x = 4,253.07

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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.