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Finding the Fourth Proportional to 3,865.84, 5,798.42 and 1,233.22

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Solution

The fourth proportional to 3,865.84, 5,798.42 and 1,233.22 is: 1,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.84 : 5,798.42 = 1,233.22 : x
  2. Step 2: Convert to fraction form
    3,865.84/5,798.42 = 1,233.22/x
  3. Step 3: Cross multiply
    3,865.84x = 5,798.42 × 1,233.22
  4. Step 4: Simplify right side
    3,865.84x = 7,150,727.51
  5. Step 5: Solve for x
    x = 7,150,727.51/3,865.84
  6. Step 6: Final answer
    x = 1,849.72

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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.