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Finding the Fourth Proportional to 5,000.68, 7,496.77 and 3,054.25

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Solution

The fourth proportional to 5,000.68, 7,496.77 and 3,054.25 is: 4,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.68 : 7,496.77 = 3,054.25 : x
  2. Step 2: Convert to fraction form
    5,000.68/7,496.77 = 3,054.25/x
  3. Step 3: Cross multiply
    5,000.68x = 7,496.77 × 3,054.25
  4. Step 4: Simplify right side
    5,000.68x = 22,896,994.50
  5. Step 5: Solve for x
    x = 22,896,994.50/5,000.68
  6. Step 6: Final answer
    x = 4,578.78

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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.