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Finding the Fourth Proportional to 5,498.08, 8,248.08 and 2,420

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Solution

The fourth proportional to 5,498.08, 8,248.08 and 2,420 is: 3,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.08 : 8,248.08 = 2,420 : x
  2. Step 2: Convert to fraction form
    5,498.08/8,248.08 = 2,420/x
  3. Step 3: Cross multiply
    5,498.08x = 8,248.08 × 2,420
  4. Step 4: Simplify right side
    5,498.08x = 19,960,353.60
  5. Step 5: Solve for x
    x = 19,960,353.60/5,498.08
  6. Step 6: Final answer
    x = 3,630.42

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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.