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Finding the Fourth Proportional to 3,362.04, 5,047.79 and 1,719.77

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Solution

The fourth proportional to 3,362.04, 5,047.79 and 1,719.77 is: 2,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.04 : 5,047.79 = 1,719.77 : x
  2. Step 2: Convert to fraction form
    3,362.04/5,047.79 = 1,719.77/x
  3. Step 3: Cross multiply
    3,362.04x = 5,047.79 × 1,719.77
  4. Step 4: Simplify right side
    3,362.04x = 8,681,003.97
  5. Step 5: Solve for x
    x = 8,681,003.97/3,362.04
  6. Step 6: Final answer
    x = 2,582.06

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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.