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Finding the Fourth Proportional to 3,637.56, 5,419.74 and 3,601.14

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Solution

The fourth proportional to 3,637.56, 5,419.74 and 3,601.14 is: 5,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.56 : 5,419.74 = 3,601.14 : x
  2. Step 2: Convert to fraction form
    3,637.56/5,419.74 = 3,601.14/x
  3. Step 3: Cross multiply
    3,637.56x = 5,419.74 × 3,601.14
  4. Step 4: Simplify right side
    3,637.56x = 19,517,242.50
  5. Step 5: Solve for x
    x = 19,517,242.50/3,637.56
  6. Step 6: Final answer
    x = 5,365.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.