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Finding the Fourth Proportional to 3,699.90, 5,107.24 and 2,302.38

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Solution

The fourth proportional to 3,699.90, 5,107.24 and 2,302.38 is: 3,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.90 : 5,107.24 = 2,302.38 : x
  2. Step 2: Convert to fraction form
    3,699.90/5,107.24 = 2,302.38/x
  3. Step 3: Cross multiply
    3,699.90x = 5,107.24 × 2,302.38
  4. Step 4: Simplify right side
    3,699.90x = 11,758,807.23
  5. Step 5: Solve for x
    x = 11,758,807.23/3,699.90
  6. Step 6: Final answer
    x = 3,178.14

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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.