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Finding the Fourth Proportional to 3,313.17, 4,572.07 and 1,821

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Solution

The fourth proportional to 3,313.17, 4,572.07 and 1,821 is: 2,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.17 : 4,572.07 = 1,821 : x
  2. Step 2: Convert to fraction form
    3,313.17/4,572.07 = 1,821/x
  3. Step 3: Cross multiply
    3,313.17x = 4,572.07 × 1,821
  4. Step 4: Simplify right side
    3,313.17x = 8,325,739.47
  5. Step 5: Solve for x
    x = 8,325,739.47/3,313.17
  6. Step 6: Final answer
    x = 2,512.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.