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Finding the Fourth Proportional to 3,780.36, 5,670.18 and 1,044.36

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Solution

The fourth proportional to 3,780.36, 5,670.18 and 1,044.36 is: 1,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.36 : 5,670.18 = 1,044.36 : x
  2. Step 2: Convert to fraction form
    3,780.36/5,670.18 = 1,044.36/x
  3. Step 3: Cross multiply
    3,780.36x = 5,670.18 × 1,044.36
  4. Step 4: Simplify right side
    3,780.36x = 5,921,709.18
  5. Step 5: Solve for x
    x = 5,921,709.18/3,780.36
  6. Step 6: Final answer
    x = 1,566.44

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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.