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Finding the Fourth Proportional to 4,546.12, 6,832.02 and 2,697.58

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Solution

The fourth proportional to 4,546.12, 6,832.02 and 2,697.58 is: 4,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.12 : 6,832.02 = 2,697.58 : x
  2. Step 2: Convert to fraction form
    4,546.12/6,832.02 = 2,697.58/x
  3. Step 3: Cross multiply
    4,546.12x = 6,832.02 × 2,697.58
  4. Step 4: Simplify right side
    4,546.12x = 18,429,920.51
  5. Step 5: Solve for x
    x = 18,429,920.51/4,546.12
  6. Step 6: Final answer
    x = 4,053.99

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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.