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Finding the Fourth Proportional to 3,871.80, 5,802.30 and 3,690.36

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Solution

The fourth proportional to 3,871.80, 5,802.30 and 3,690.36 is: 5,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.80 : 5,802.30 = 3,690.36 : x
  2. Step 2: Convert to fraction form
    3,871.80/5,802.30 = 3,690.36/x
  3. Step 3: Cross multiply
    3,871.80x = 5,802.30 × 3,690.36
  4. Step 4: Simplify right side
    3,871.80x = 21,412,575.83
  5. Step 5: Solve for x
    x = 21,412,575.83/3,871.80
  6. Step 6: Final answer
    x = 5,530.39

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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.