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Finding the Fourth Proportional to 3,720.76, 5,581.14 and 1,640.32

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Solution

The fourth proportional to 3,720.76, 5,581.14 and 1,640.32 is: 2,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.76 : 5,581.14 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    3,720.76/5,581.14 = 1,640.32/x
  3. Step 3: Cross multiply
    3,720.76x = 5,581.14 × 1,640.32
  4. Step 4: Simplify right side
    3,720.76x = 9,154,855.56
  5. Step 5: Solve for x
    x = 9,154,855.56/3,720.76
  6. Step 6: Final answer
    x = 2,460.48

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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.