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Finding the Fourth Proportional to 5,118.93, 7,678.02 and 1,998.35

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Solution

The fourth proportional to 5,118.93, 7,678.02 and 1,998.35 is: 2,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.93 : 7,678.02 = 1,998.35 : x
  2. Step 2: Convert to fraction form
    5,118.93/7,678.02 = 1,998.35/x
  3. Step 3: Cross multiply
    5,118.93x = 7,678.02 × 1,998.35
  4. Step 4: Simplify right side
    5,118.93x = 15,343,332.88
  5. Step 5: Solve for x
    x = 15,343,332.88/5,118.93
  6. Step 6: Final answer
    x = 2,997.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.