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Finding the Fourth Proportional to 3,282.84, 4,534.74 and 3,049.56

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Solution

The fourth proportional to 3,282.84, 4,534.74 and 3,049.56 is: 4,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.84 : 4,534.74 = 3,049.56 : x
  2. Step 2: Convert to fraction form
    3,282.84/4,534.74 = 3,049.56/x
  3. Step 3: Cross multiply
    3,282.84x = 4,534.74 × 3,049.56
  4. Step 4: Simplify right side
    3,282.84x = 13,828,961.71
  5. Step 5: Solve for x
    x = 13,828,961.71/3,282.84
  6. Step 6: Final answer
    x = 4,212.50

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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.