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Finding the Fourth Proportional to 5,464.80, 8,197.25 and 1,569.33

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Solution

The fourth proportional to 5,464.80, 8,197.25 and 1,569.33 is: 2,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.80 : 8,197.25 = 1,569.33 : x
  2. Step 2: Convert to fraction form
    5,464.80/8,197.25 = 1,569.33/x
  3. Step 3: Cross multiply
    5,464.80x = 8,197.25 × 1,569.33
  4. Step 4: Simplify right side
    5,464.80x = 12,864,182.50
  5. Step 5: Solve for x
    x = 12,864,182.50/5,464.80
  6. Step 6: Final answer
    x = 2,354.01

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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.