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Finding the Fourth Proportional to 3,494.91, 4,823 and 1,901.58

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Solution

The fourth proportional to 3,494.91, 4,823 and 1,901.58 is: 2,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.91 : 4,823 = 1,901.58 : x
  2. Step 2: Convert to fraction form
    3,494.91/4,823 = 1,901.58/x
  3. Step 3: Cross multiply
    3,494.91x = 4,823 × 1,901.58
  4. Step 4: Simplify right side
    3,494.91x = 9,171,320.34
  5. Step 5: Solve for x
    x = 9,171,320.34/3,494.91
  6. Step 6: Final answer
    x = 2,624.19

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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.