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Finding the Fourth Proportional to 5,465.20, 8,198.20 and 1,569.64

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Solution

The fourth proportional to 5,465.20, 8,198.20 and 1,569.64 is: 2,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.20 : 8,198.20 = 1,569.64 : x
  2. Step 2: Convert to fraction form
    5,465.20/8,198.20 = 1,569.64/x
  3. Step 3: Cross multiply
    5,465.20x = 8,198.20 × 1,569.64
  4. Step 4: Simplify right side
    5,465.20x = 12,868,222.65
  5. Step 5: Solve for x
    x = 12,868,222.65/5,465.20
  6. Step 6: Final answer
    x = 2,354.57

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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.