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Finding the Fourth Proportional to 3,384.91, 5,077.85 and 1,045.11

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Solution

The fourth proportional to 3,384.91, 5,077.85 and 1,045.11 is: 1,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.91 : 5,077.85 = 1,045.11 : x
  2. Step 2: Convert to fraction form
    3,384.91/5,077.85 = 1,045.11/x
  3. Step 3: Cross multiply
    3,384.91x = 5,077.85 × 1,045.11
  4. Step 4: Simplify right side
    3,384.91x = 5,306,900.01
  5. Step 5: Solve for x
    x = 5,306,900.01/3,384.91
  6. Step 6: Final answer
    x = 1,567.81

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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.