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Finding the Fourth Proportional to 3,860.02, 5,785.10 and 3,218.50

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Solution

The fourth proportional to 3,860.02, 5,785.10 and 3,218.50 is: 4,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.02 : 5,785.10 = 3,218.50 : x
  2. Step 2: Convert to fraction form
    3,860.02/5,785.10 = 3,218.50/x
  3. Step 3: Cross multiply
    3,860.02x = 5,785.10 × 3,218.50
  4. Step 4: Simplify right side
    3,860.02x = 18,619,344.35
  5. Step 5: Solve for x
    x = 18,619,344.35/3,860.02
  6. Step 6: Final answer
    x = 4,823.64

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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.