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Finding the Fourth Proportional to 3,583.74, 5,374.20 and 1,243.10

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Solution

The fourth proportional to 3,583.74, 5,374.20 and 1,243.10 is: 1,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.74 : 5,374.20 = 1,243.10 : x
  2. Step 2: Convert to fraction form
    3,583.74/5,374.20 = 1,243.10/x
  3. Step 3: Cross multiply
    3,583.74x = 5,374.20 × 1,243.10
  4. Step 4: Simplify right side
    3,583.74x = 6,680,668.02
  5. Step 5: Solve for x
    x = 6,680,668.02/3,583.74
  6. Step 6: Final answer
    x = 1,864.16

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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.