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Finding the Fourth Proportional to 3,669.26, 5,503.50 and 1,036.70

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Solution

The fourth proportional to 3,669.26, 5,503.50 and 1,036.70 is: 1,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.26 : 5,503.50 = 1,036.70 : x
  2. Step 2: Convert to fraction form
    3,669.26/5,503.50 = 1,036.70/x
  3. Step 3: Cross multiply
    3,669.26x = 5,503.50 × 1,036.70
  4. Step 4: Simplify right side
    3,669.26x = 5,705,478.45
  5. Step 5: Solve for x
    x = 5,705,478.45/3,669.26
  6. Step 6: Final answer
    x = 1,554.94

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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.