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Finding the Fourth Proportional to 4,487.84, 6,192.49 and 2,498.35

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Solution

The fourth proportional to 4,487.84, 6,192.49 and 2,498.35 is: 3,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.84 : 6,192.49 = 2,498.35 : x
  2. Step 2: Convert to fraction form
    4,487.84/6,192.49 = 2,498.35/x
  3. Step 3: Cross multiply
    4,487.84x = 6,192.49 × 2,498.35
  4. Step 4: Simplify right side
    4,487.84x = 15,471,007.39
  5. Step 5: Solve for x
    x = 15,471,007.39/4,487.84
  6. Step 6: Final answer
    x = 3,447.32

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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.