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Finding the Fourth Proportional to 4,006.08, 6,012 and 2,468.16

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Solution

The fourth proportional to 4,006.08, 6,012 and 2,468.16 is: 3,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.08 : 6,012 = 2,468.16 : x
  2. Step 2: Convert to fraction form
    4,006.08/6,012 = 2,468.16/x
  3. Step 3: Cross multiply
    4,006.08x = 6,012 × 2,468.16
  4. Step 4: Simplify right side
    4,006.08x = 14,838,577.92
  5. Step 5: Solve for x
    x = 14,838,577.92/4,006.08
  6. Step 6: Final answer
    x = 3,704.01

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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.