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Finding the Fourth Proportional to 3,937.41, 5,434.05 and 2,258.99

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Solution

The fourth proportional to 3,937.41, 5,434.05 and 2,258.99 is: 3,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.41 : 5,434.05 = 2,258.99 : x
  2. Step 2: Convert to fraction form
    3,937.41/5,434.05 = 2,258.99/x
  3. Step 3: Cross multiply
    3,937.41x = 5,434.05 × 2,258.99
  4. Step 4: Simplify right side
    3,937.41x = 12,275,466.29
  5. Step 5: Solve for x
    x = 12,275,466.29/3,937.41
  6. Step 6: Final answer
    x = 3,117.65

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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.