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Finding the Fourth Proportional to 3,866.70, 5,802.27 and 2,310.48

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Solution

The fourth proportional to 3,866.70, 5,802.27 and 2,310.48 is: 3,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.70 : 5,802.27 = 2,310.48 : x
  2. Step 2: Convert to fraction form
    3,866.70/5,802.27 = 2,310.48/x
  3. Step 3: Cross multiply
    3,866.70x = 5,802.27 × 2,310.48
  4. Step 4: Simplify right side
    3,866.70x = 13,406,028.79
  5. Step 5: Solve for x
    x = 13,406,028.79/3,866.70
  6. Step 6: Final answer
    x = 3,467.05

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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.