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Finding the Fourth Proportional to 3,494.56, 4,822.58 and 1,901.30

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Solution

The fourth proportional to 3,494.56, 4,822.58 and 1,901.30 is: 2,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.56 : 4,822.58 = 1,901.30 : x
  2. Step 2: Convert to fraction form
    3,494.56/4,822.58 = 1,901.30/x
  3. Step 3: Cross multiply
    3,494.56x = 4,822.58 × 1,901.30
  4. Step 4: Simplify right side
    3,494.56x = 9,169,137.73
  5. Step 5: Solve for x
    x = 9,169,137.73/3,494.56
  6. Step 6: Final answer
    x = 2,623.84

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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.