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Finding the Fourth Proportional to 6,154.44, 9,235.71 and 2,258.88

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Solution

The fourth proportional to 6,154.44, 9,235.71 and 2,258.88 is: 3,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.44 : 9,235.71 = 2,258.88 : x
  2. Step 2: Convert to fraction form
    6,154.44/9,235.71 = 2,258.88/x
  3. Step 3: Cross multiply
    6,154.44x = 9,235.71 × 2,258.88
  4. Step 4: Simplify right side
    6,154.44x = 20,862,360.60
  5. Step 5: Solve for x
    x = 20,862,360.60/6,154.44
  6. Step 6: Final answer
    x = 3,389.81

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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.