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Finding the Fourth Proportional to 3,601.71, 4,970.31 and 2,029.83

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Solution

The fourth proportional to 3,601.71, 4,970.31 and 2,029.83 is: 2,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.71 : 4,970.31 = 2,029.83 : x
  2. Step 2: Convert to fraction form
    3,601.71/4,970.31 = 2,029.83/x
  3. Step 3: Cross multiply
    3,601.71x = 4,970.31 × 2,029.83
  4. Step 4: Simplify right side
    3,601.71x = 10,088,884.35
  5. Step 5: Solve for x
    x = 10,088,884.35/3,601.71
  6. Step 6: Final answer
    x = 2,801.14

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