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Finding the Fourth Proportional to 3,384.76, 5,077.68 and 1,044.21

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Solution

The fourth proportional to 3,384.76, 5,077.68 and 1,044.21 is: 1,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.76 : 5,077.68 = 1,044.21 : x
  2. Step 2: Convert to fraction form
    3,384.76/5,077.68 = 1,044.21/x
  3. Step 3: Cross multiply
    3,384.76x = 5,077.68 × 1,044.21
  4. Step 4: Simplify right side
    3,384.76x = 5,302,164.23
  5. Step 5: Solve for x
    x = 5,302,164.23/3,384.76
  6. Step 6: Final answer
    x = 1,566.48

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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.