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Finding the Fourth Proportional to 5,369.25, 8,053.89 and 1,473.66

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Solution

The fourth proportional to 5,369.25, 8,053.89 and 1,473.66 is: 2,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.25 : 8,053.89 = 1,473.66 : x
  2. Step 2: Convert to fraction form
    5,369.25/8,053.89 = 1,473.66/x
  3. Step 3: Cross multiply
    5,369.25x = 8,053.89 × 1,473.66
  4. Step 4: Simplify right side
    5,369.25x = 11,868,695.54
  5. Step 5: Solve for x
    x = 11,868,695.54/5,369.25
  6. Step 6: Final answer
    x = 2,210.49

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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.