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Finding the Fourth Proportional to 6,142.08, 8,478 and 3,624.08

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Solution

The fourth proportional to 6,142.08, 8,478 and 3,624.08 is: 5,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.08 : 8,478 = 3,624.08 : x
  2. Step 2: Convert to fraction form
    6,142.08/8,478 = 3,624.08/x
  3. Step 3: Cross multiply
    6,142.08x = 8,478 × 3,624.08
  4. Step 4: Simplify right side
    6,142.08x = 30,724,950.24
  5. Step 5: Solve for x
    x = 30,724,950.24/6,142.08
  6. Step 6: Final answer
    x = 5,002.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.