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Finding the Fourth Proportional to 3,859.02, 5,783.60 and 3,217.50

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Solution

The fourth proportional to 3,859.02, 5,783.60 and 3,217.50 is: 4,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.02 : 5,783.60 = 3,217.50 : x
  2. Step 2: Convert to fraction form
    3,859.02/5,783.60 = 3,217.50/x
  3. Step 3: Cross multiply
    3,859.02x = 5,783.60 × 3,217.50
  4. Step 4: Simplify right side
    3,859.02x = 18,608,733
  5. Step 5: Solve for x
    x = 18,608,733/3,859.02
  6. Step 6: Final answer
    x = 4,822.14

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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.