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Finding the Fourth Proportional to 4,267.02, 6,400.02 and 1,493.46

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Solution

The fourth proportional to 4,267.02, 6,400.02 and 1,493.46 is: 2,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.02 : 6,400.02 = 1,493.46 : x
  2. Step 2: Convert to fraction form
    4,267.02/6,400.02 = 1,493.46/x
  3. Step 3: Cross multiply
    4,267.02x = 6,400.02 × 1,493.46
  4. Step 4: Simplify right side
    4,267.02x = 9,558,173.87
  5. Step 5: Solve for x
    x = 9,558,173.87/4,267.02
  6. Step 6: Final answer
    x = 2,240.01

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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.