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Finding the Fourth Proportional to 3,494.53, 4,822.54 and 1,901.27

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Solution

The fourth proportional to 3,494.53, 4,822.54 and 1,901.27 is: 2,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.53 : 4,822.54 = 1,901.27 : x
  2. Step 2: Convert to fraction form
    3,494.53/4,822.54 = 1,901.27/x
  3. Step 3: Cross multiply
    3,494.53x = 4,822.54 × 1,901.27
  4. Step 4: Simplify right side
    3,494.53x = 9,168,957.93
  5. Step 5: Solve for x
    x = 9,168,957.93/3,494.53
  6. Step 6: Final answer
    x = 2,623.80

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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.