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Finding the Fourth Proportional to 5,924.22, 8,165.14 and 4,328.26

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Solution

The fourth proportional to 5,924.22, 8,165.14 and 4,328.26 is: 5,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.22 : 8,165.14 = 4,328.26 : x
  2. Step 2: Convert to fraction form
    5,924.22/8,165.14 = 4,328.26/x
  3. Step 3: Cross multiply
    5,924.22x = 8,165.14 × 4,328.26
  4. Step 4: Simplify right side
    5,924.22x = 35,340,848.86
  5. Step 5: Solve for x
    x = 35,340,848.86/5,924.22
  6. Step 6: Final answer
    x = 5,965.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.