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Finding the Fourth Proportional to 4,999, 7,494.52 and 2,498.84

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Solution

The fourth proportional to 4,999, 7,494.52 and 2,498.84 is: 3,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999 : 7,494.52 = 2,498.84 : x
  2. Step 2: Convert to fraction form
    4,999/7,494.52 = 2,498.84/x
  3. Step 3: Cross multiply
    4,999x = 7,494.52 × 2,498.84
  4. Step 4: Simplify right side
    4,999x = 18,727,606.36
  5. Step 5: Solve for x
    x = 18,727,606.36/4,999
  6. Step 6: Final answer
    x = 3,746.27

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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.