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Finding the Fourth Proportional to 5,887.49, 8,825.74 and 1,989.17

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Solution

The fourth proportional to 5,887.49, 8,825.74 and 1,989.17 is: 2,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.49 : 8,825.74 = 1,989.17 : x
  2. Step 2: Convert to fraction form
    5,887.49/8,825.74 = 1,989.17/x
  3. Step 3: Cross multiply
    5,887.49x = 8,825.74 × 1,989.17
  4. Step 4: Simplify right side
    5,887.49x = 17,555,897.24
  5. Step 5: Solve for x
    x = 17,555,897.24/5,887.49
  6. Step 6: Final answer
    x = 2,981.90

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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.