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Finding the Fourth Proportional to 3,753.74, 5,631.81 and 1,804.88

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Solution

The fourth proportional to 3,753.74, 5,631.81 and 1,804.88 is: 2,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.74 : 5,631.81 = 1,804.88 : x
  2. Step 2: Convert to fraction form
    3,753.74/5,631.81 = 1,804.88/x
  3. Step 3: Cross multiply
    3,753.74x = 5,631.81 × 1,804.88
  4. Step 4: Simplify right side
    3,753.74x = 10,164,741.23
  5. Step 5: Solve for x
    x = 10,164,741.23/3,753.74
  6. Step 6: Final answer
    x = 2,707.90

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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.