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Finding the Fourth Proportional to 3,093.58, 4,270.29 and 2,258.59

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Solution

The fourth proportional to 3,093.58, 4,270.29 and 2,258.59 is: 3,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.58 : 4,270.29 = 2,258.59 : x
  2. Step 2: Convert to fraction form
    3,093.58/4,270.29 = 2,258.59/x
  3. Step 3: Cross multiply
    3,093.58x = 4,270.29 × 2,258.59
  4. Step 4: Simplify right side
    3,093.58x = 9,644,830.92
  5. Step 5: Solve for x
    x = 9,644,830.92/3,093.58
  6. Step 6: Final answer
    x = 3,117.69

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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.