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Finding the Fourth Proportional to 4,205.49, 5,800.17 and 3,700.25

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Solution

The fourth proportional to 4,205.49, 5,800.17 and 3,700.25 is: 5,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.49 : 5,800.17 = 3,700.25 : x
  2. Step 2: Convert to fraction form
    4,205.49/5,800.17 = 3,700.25/x
  3. Step 3: Cross multiply
    4,205.49x = 5,800.17 × 3,700.25
  4. Step 4: Simplify right side
    4,205.49x = 21,462,079.67
  5. Step 5: Solve for x
    x = 21,462,079.67/4,205.49
  6. Step 6: Final answer
    x = 5,103.35

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Half scale
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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.