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Finding the Fourth Proportional to 3,305.71, 4,562.32 and 2,130.20

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Solution

The fourth proportional to 3,305.71, 4,562.32 and 2,130.20 is: 2,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.71 : 4,562.32 = 2,130.20 : x
  2. Step 2: Convert to fraction form
    3,305.71/4,562.32 = 2,130.20/x
  3. Step 3: Cross multiply
    3,305.71x = 4,562.32 × 2,130.20
  4. Step 4: Simplify right side
    3,305.71x = 9,718,625.93
  5. Step 5: Solve for x
    x = 9,718,625.93/3,305.71
  6. Step 6: Final answer
    x = 2,939.95

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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.