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Finding the Fourth Proportional to 3,343.51, 4,635.16 and 3,165.75

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Solution

The fourth proportional to 3,343.51, 4,635.16 and 3,165.75 is: 4,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.51 : 4,635.16 = 3,165.75 : x
  2. Step 2: Convert to fraction form
    3,343.51/4,635.16 = 3,165.75/x
  3. Step 3: Cross multiply
    3,343.51x = 4,635.16 × 3,165.75
  4. Step 4: Simplify right side
    3,343.51x = 14,673,749.86
  5. Step 5: Solve for x
    x = 14,673,749.86/3,343.51
  6. Step 6: Final answer
    x = 4,388.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.