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Finding the Fourth Proportional to 5,459.18, 8,186.34 and 1,994

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Solution

The fourth proportional to 5,459.18, 8,186.34 and 1,994 is: 2,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.18 : 8,186.34 = 1,994 : x
  2. Step 2: Convert to fraction form
    5,459.18/8,186.34 = 1,994/x
  3. Step 3: Cross multiply
    5,459.18x = 8,186.34 × 1,994
  4. Step 4: Simplify right side
    5,459.18x = 16,323,561.96
  5. Step 5: Solve for x
    x = 16,323,561.96/5,459.18
  6. Step 6: Final answer
    x = 2,990.11

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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.