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Finding the Fourth Proportional to 3,503.70, 5,253.99 and 1,037.66

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Solution

The fourth proportional to 3,503.70, 5,253.99 and 1,037.66 is: 1,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.70 : 5,253.99 = 1,037.66 : x
  2. Step 2: Convert to fraction form
    3,503.70/5,253.99 = 1,037.66/x
  3. Step 3: Cross multiply
    3,503.70x = 5,253.99 × 1,037.66
  4. Step 4: Simplify right side
    3,503.70x = 5,451,828.99
  5. Step 5: Solve for x
    x = 5,451,828.99/3,503.70
  6. Step 6: Final answer
    x = 1,556.02

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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.