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Finding the Fourth Proportional to 5,983.86, 8,258.18 and 3,466.65

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Solution

The fourth proportional to 5,983.86, 8,258.18 and 3,466.65 is: 4,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.86 : 8,258.18 = 3,466.65 : x
  2. Step 2: Convert to fraction form
    5,983.86/8,258.18 = 3,466.65/x
  3. Step 3: Cross multiply
    5,983.86x = 8,258.18 × 3,466.65
  4. Step 4: Simplify right side
    5,983.86x = 28,628,202.36
  5. Step 5: Solve for x
    x = 28,628,202.36/5,983.86
  6. Step 6: Final answer
    x = 4,784.24

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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.