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Finding the Fourth Proportional to 3,669.71, 5,503.29 and 1,204.17

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Solution

The fourth proportional to 3,669.71, 5,503.29 and 1,204.17 is: 1,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.71 : 5,503.29 = 1,204.17 : x
  2. Step 2: Convert to fraction form
    3,669.71/5,503.29 = 1,204.17/x
  3. Step 3: Cross multiply
    3,669.71x = 5,503.29 × 1,204.17
  4. Step 4: Simplify right side
    3,669.71x = 6,626,878.34
  5. Step 5: Solve for x
    x = 6,626,878.34/3,669.71
  6. Step 6: Final answer
    x = 1,805.83

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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.