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Finding the Fourth Proportional to 5,464.68, 8,197.02 and 1,569.39

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Solution

The fourth proportional to 5,464.68, 8,197.02 and 1,569.39 is: 2,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.68 : 8,197.02 = 1,569.39 : x
  2. Step 2: Convert to fraction form
    5,464.68/8,197.02 = 1,569.39/x
  3. Step 3: Cross multiply
    5,464.68x = 8,197.02 × 1,569.39
  4. Step 4: Simplify right side
    5,464.68x = 12,864,321.22
  5. Step 5: Solve for x
    x = 12,864,321.22/5,464.68
  6. Step 6: Final answer
    x = 2,354.09

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.