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Finding the Fourth Proportional to 4,002, 6,000.30 and 1,536.36

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Solution

The fourth proportional to 4,002, 6,000.30 and 1,536.36 is: 2,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 6,000.30 = 1,536.36 : x
  2. Step 2: Convert to fraction form
    4,002/6,000.30 = 1,536.36/x
  3. Step 3: Cross multiply
    4,002x = 6,000.30 × 1,536.36
  4. Step 4: Simplify right side
    4,002x = 9,218,620.91
  5. Step 5: Solve for x
    x = 9,218,620.91/4,002
  6. Step 6: Final answer
    x = 2,303.50

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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.