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Finding the Fourth Proportional to 3,494.47, 4,823.50 and 2,238.91

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Solution

The fourth proportional to 3,494.47, 4,823.50 and 2,238.91 is: 3,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.47 : 4,823.50 = 2,238.91 : x
  2. Step 2: Convert to fraction form
    3,494.47/4,823.50 = 2,238.91/x
  3. Step 3: Cross multiply
    3,494.47x = 4,823.50 × 2,238.91
  4. Step 4: Simplify right side
    3,494.47x = 10,799,382.39
  5. Step 5: Solve for x
    x = 10,799,382.39/3,494.47
  6. Step 6: Final answer
    x = 3,090.42

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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.