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Finding the Fourth Proportional to 5,376.74, 8,059.28 and 2,258.46

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Solution

The fourth proportional to 5,376.74, 8,059.28 and 2,258.46 is: 3,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.74 : 8,059.28 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    5,376.74/8,059.28 = 2,258.46/x
  3. Step 3: Cross multiply
    5,376.74x = 8,059.28 × 2,258.46
  4. Step 4: Simplify right side
    5,376.74x = 18,201,561.51
  5. Step 5: Solve for x
    x = 18,201,561.51/5,376.74
  6. Step 6: Final answer
    x = 3,385.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.