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Finding the Fourth Proportional to 3,064.05, 4,596.07 and 2,141.41

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Solution

The fourth proportional to 3,064.05, 4,596.07 and 2,141.41 is: 3,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.05 : 4,596.07 = 2,141.41 : x
  2. Step 2: Convert to fraction form
    3,064.05/4,596.07 = 2,141.41/x
  3. Step 3: Cross multiply
    3,064.05x = 4,596.07 × 2,141.41
  4. Step 4: Simplify right side
    3,064.05x = 9,842,059.55
  5. Step 5: Solve for x
    x = 9,842,059.55/3,064.05
  6. Step 6: Final answer
    x = 3,212.11

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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.