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Finding the Fourth Proportional to 3,650.07, 5,037.10 and 2,078.16

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Solution

The fourth proportional to 3,650.07, 5,037.10 and 2,078.16 is: 2,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.07 : 5,037.10 = 2,078.16 : x
  2. Step 2: Convert to fraction form
    3,650.07/5,037.10 = 2,078.16/x
  3. Step 3: Cross multiply
    3,650.07x = 5,037.10 × 2,078.16
  4. Step 4: Simplify right side
    3,650.07x = 10,467,889.35
  5. Step 5: Solve for x
    x = 10,467,889.35/3,650.07
  6. Step 6: Final answer
    x = 2,867.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.