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Finding the Fourth Proportional to 3,509.39, 4,843.22 and 2,017.67

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Solution

The fourth proportional to 3,509.39, 4,843.22 and 2,017.67 is: 2,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.39 : 4,843.22 = 2,017.67 : x
  2. Step 2: Convert to fraction form
    3,509.39/4,843.22 = 2,017.67/x
  3. Step 3: Cross multiply
    3,509.39x = 4,843.22 × 2,017.67
  4. Step 4: Simplify right side
    3,509.39x = 9,772,019.70
  5. Step 5: Solve for x
    x = 9,772,019.70/3,509.39
  6. Step 6: Final answer
    x = 2,784.54

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Double 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.