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Finding the Fourth Proportional to 3,802.65, 5,241.66 and 2,857.08

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Solution

The fourth proportional to 3,802.65, 5,241.66 and 2,857.08 is: 3,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.65 : 5,241.66 = 2,857.08 : x
  2. Step 2: Convert to fraction form
    3,802.65/5,241.66 = 2,857.08/x
  3. Step 3: Cross multiply
    3,802.65x = 5,241.66 × 2,857.08
  4. Step 4: Simplify right side
    3,802.65x = 14,975,841.95
  5. Step 5: Solve for x
    x = 14,975,841.95/3,802.65
  6. Step 6: Final answer
    x = 3,938.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.