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Finding the Fourth Proportional to 3,494.67, 4,822.56 and 1,901.35

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Solution

The fourth proportional to 3,494.67, 4,822.56 and 1,901.35 is: 2,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.67 : 4,822.56 = 1,901.35 : x
  2. Step 2: Convert to fraction form
    3,494.67/4,822.56 = 1,901.35/x
  3. Step 3: Cross multiply
    3,494.67x = 4,822.56 × 1,901.35
  4. Step 4: Simplify right side
    3,494.67x = 9,169,387.53
  5. Step 5: Solve for x
    x = 9,169,387.53/3,494.67
  6. Step 6: Final answer
    x = 2,623.82

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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.