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Finding the Fourth Proportional to 3,735.11, 5,600.72 and 1,981.10

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Solution

The fourth proportional to 3,735.11, 5,600.72 and 1,981.10 is: 2,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.11 : 5,600.72 = 1,981.10 : x
  2. Step 2: Convert to fraction form
    3,735.11/5,600.72 = 1,981.10/x
  3. Step 3: Cross multiply
    3,735.11x = 5,600.72 × 1,981.10
  4. Step 4: Simplify right side
    3,735.11x = 11,095,605.35
  5. Step 5: Solve for x
    x = 11,095,605.35/3,735.11
  6. Step 6: Final answer
    x = 2,970.62

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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.