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Finding the Fourth Proportional to 3,722.63, 5,583.81 and 1,125.50

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Solution

The fourth proportional to 3,722.63, 5,583.81 and 1,125.50 is: 1,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.63 : 5,583.81 = 1,125.50 : x
  2. Step 2: Convert to fraction form
    3,722.63/5,583.81 = 1,125.50/x
  3. Step 3: Cross multiply
    3,722.63x = 5,583.81 × 1,125.50
  4. Step 4: Simplify right side
    3,722.63x = 6,284,578.16
  5. Step 5: Solve for x
    x = 6,284,578.16/3,722.63
  6. Step 6: Final answer
    x = 1,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.