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Finding the Fourth Proportional to 3,637.14, 5,019.03 and 2,145.12

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Solution

The fourth proportional to 3,637.14, 5,019.03 and 2,145.12 is: 2,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.14 : 5,019.03 = 2,145.12 : x
  2. Step 2: Convert to fraction form
    3,637.14/5,019.03 = 2,145.12/x
  3. Step 3: Cross multiply
    3,637.14x = 5,019.03 × 2,145.12
  4. Step 4: Simplify right side
    3,637.14x = 10,766,421.63
  5. Step 5: Solve for x
    x = 10,766,421.63/3,637.14
  6. Step 6: Final answer
    x = 2,960.13

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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.