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Finding the Fourth Proportional to 3,911.81, 5,869.98 and 1,448.34

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Solution

The fourth proportional to 3,911.81, 5,869.98 and 1,448.34 is: 2,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.81 : 5,869.98 = 1,448.34 : x
  2. Step 2: Convert to fraction form
    3,911.81/5,869.98 = 1,448.34/x
  3. Step 3: Cross multiply
    3,911.81x = 5,869.98 × 1,448.34
  4. Step 4: Simplify right side
    3,911.81x = 8,501,726.83
  5. Step 5: Solve for x
    x = 8,501,726.83/3,911.81
  6. Step 6: Final answer
    x = 2,173.35

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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.