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Finding the Fourth Proportional to 3,669.42, 5,502.96 and 1,203.74

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Solution

The fourth proportional to 3,669.42, 5,502.96 and 1,203.74 is: 1,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.42 : 5,502.96 = 1,203.74 : x
  2. Step 2: Convert to fraction form
    3,669.42/5,502.96 = 1,203.74/x
  3. Step 3: Cross multiply
    3,669.42x = 5,502.96 × 1,203.74
  4. Step 4: Simplify right side
    3,669.42x = 6,624,133.07
  5. Step 5: Solve for x
    x = 6,624,133.07/3,669.42
  6. Step 6: Final answer
    x = 1,805.23

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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.