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Finding the Fourth Proportional to 3,503.12, 5,255.19 and 1,037.62

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Solution

The fourth proportional to 3,503.12, 5,255.19 and 1,037.62 is: 1,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.12 : 5,255.19 = 1,037.62 : x
  2. Step 2: Convert to fraction form
    3,503.12/5,255.19 = 1,037.62/x
  3. Step 3: Cross multiply
    3,503.12x = 5,255.19 × 1,037.62
  4. Step 4: Simplify right side
    3,503.12x = 5,452,883.50
  5. Step 5: Solve for x
    x = 5,452,883.50/3,503.12
  6. Step 6: Final answer
    x = 1,556.58

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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.