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Finding the Fourth Proportional to 3,284.76, 4,529.56 and 2,538.84

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Solution

The fourth proportional to 3,284.76, 4,529.56 and 2,538.84 is: 3,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.76 : 4,529.56 = 2,538.84 : x
  2. Step 2: Convert to fraction form
    3,284.76/4,529.56 = 2,538.84/x
  3. Step 3: Cross multiply
    3,284.76x = 4,529.56 × 2,538.84
  4. Step 4: Simplify right side
    3,284.76x = 11,499,828.11
  5. Step 5: Solve for x
    x = 11,499,828.11/3,284.76
  6. Step 6: Final answer
    x = 3,500.96

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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.