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Finding the Fourth Proportional to 5,768.08, 8,650.78 and 2,258.16

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Solution

The fourth proportional to 5,768.08, 8,650.78 and 2,258.16 is: 3,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.08 : 8,650.78 = 2,258.16 : x
  2. Step 2: Convert to fraction form
    5,768.08/8,650.78 = 2,258.16/x
  3. Step 3: Cross multiply
    5,768.08x = 8,650.78 × 2,258.16
  4. Step 4: Simplify right side
    5,768.08x = 19,534,845.36
  5. Step 5: Solve for x
    x = 19,534,845.36/5,768.08
  6. Step 6: Final answer
    x = 3,386.72

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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.