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Finding the Fourth Proportional to 5,502.08, 8,254.08 and 2,424

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Solution

The fourth proportional to 5,502.08, 8,254.08 and 2,424 is: 3,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.08 : 8,254.08 = 2,424 : x
  2. Step 2: Convert to fraction form
    5,502.08/8,254.08 = 2,424/x
  3. Step 3: Cross multiply
    5,502.08x = 8,254.08 × 2,424
  4. Step 4: Simplify right side
    5,502.08x = 20,007,889.92
  5. Step 5: Solve for x
    x = 20,007,889.92/5,502.08
  6. Step 6: Final answer
    x = 3,636.42

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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.