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Finding the Fourth Proportional to 5,408, 8,112.40 and 2,330

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Solution

The fourth proportional to 5,408, 8,112.40 and 2,330 is: 3,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408 : 8,112.40 = 2,330 : x
  2. Step 2: Convert to fraction form
    5,408/8,112.40 = 2,330/x
  3. Step 3: Cross multiply
    5,408x = 8,112.40 × 2,330
  4. Step 4: Simplify right side
    5,408x = 18,901,892
  5. Step 5: Solve for x
    x = 18,901,892/5,408
  6. Step 6: Final answer
    x = 3,495.17

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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.