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Finding the Fourth Proportional to 3,637.08, 5,448.24 and 1,902

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Solution

The fourth proportional to 3,637.08, 5,448.24 and 1,902 is: 2,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.08 : 5,448.24 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,637.08/5,448.24 = 1,902/x
  3. Step 3: Cross multiply
    3,637.08x = 5,448.24 × 1,902
  4. Step 4: Simplify right side
    3,637.08x = 10,362,552.48
  5. Step 5: Solve for x
    x = 10,362,552.48/3,637.08
  6. Step 6: Final answer
    x = 2,849.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.