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Finding the Fourth Proportional to 5,108.50, 7,657.98 and 1,990.51

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Solution

The fourth proportional to 5,108.50, 7,657.98 and 1,990.51 is: 2,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 7,657.98 = 1,990.51 : x
  2. Step 2: Convert to fraction form
    5,108.50/7,657.98 = 1,990.51/x
  3. Step 3: Cross multiply
    5,108.50x = 7,657.98 × 1,990.51
  4. Step 4: Simplify right side
    5,108.50x = 15,243,259.16
  5. Step 5: Solve for x
    x = 15,243,259.16/5,108.50
  6. Step 6: Final answer
    x = 2,983.90

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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.