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Finding the Fourth Proportional to 5,464.64, 8,197.01 and 1,569.05

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Solution

The fourth proportional to 5,464.64, 8,197.01 and 1,569.05 is: 2,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.64 : 8,197.01 = 1,569.05 : x
  2. Step 2: Convert to fraction form
    5,464.64/8,197.01 = 1,569.05/x
  3. Step 3: Cross multiply
    5,464.64x = 8,197.01 × 1,569.05
  4. Step 4: Simplify right side
    5,464.64x = 12,861,469.71
  5. Step 5: Solve for x
    x = 12,861,469.71/5,464.64
  6. Step 6: Final answer
    x = 2,353.58

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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.