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Finding the Fourth Proportional to 3,669.93, 5,502.56 and 2,419.08

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Solution

The fourth proportional to 3,669.93, 5,502.56 and 2,419.08 is: 3,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.93 : 5,502.56 = 2,419.08 : x
  2. Step 2: Convert to fraction form
    3,669.93/5,502.56 = 2,419.08/x
  3. Step 3: Cross multiply
    3,669.93x = 5,502.56 × 2,419.08
  4. Step 4: Simplify right side
    3,669.93x = 13,311,120.75
  5. Step 5: Solve for x
    x = 13,311,120.75/3,669.93
  6. Step 6: Final answer
    x = 3,627.08

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Why These Related Problems?

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