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Finding the Fourth Proportional to 3,695.76, 5,544.43 and 1,719.92

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Solution

The fourth proportional to 3,695.76, 5,544.43 and 1,719.92 is: 2,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.76 : 5,544.43 = 1,719.92 : x
  2. Step 2: Convert to fraction form
    3,695.76/5,544.43 = 1,719.92/x
  3. Step 3: Cross multiply
    3,695.76x = 5,544.43 × 1,719.92
  4. Step 4: Simplify right side
    3,695.76x = 9,535,976.05
  5. Step 5: Solve for x
    x = 9,535,976.05/3,695.76
  6. Step 6: Final answer
    x = 2,580.25

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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.