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Finding the Fourth Proportional to 4,218.01, 6,327.01 and 1,256.50

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Solution

The fourth proportional to 4,218.01, 6,327.01 and 1,256.50 is: 1,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.01 : 6,327.01 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    4,218.01/6,327.01 = 1,256.50/x
  3. Step 3: Cross multiply
    4,218.01x = 6,327.01 × 1,256.50
  4. Step 4: Simplify right side
    4,218.01x = 7,949,861.95
  5. Step 5: Solve for x
    x = 7,949,861.95/4,218.01
  6. Step 6: Final answer
    x = 1,884.74

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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.