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Finding the Fourth Proportional to 5,981.66, 8,258.37 and 3,857.95

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Solution

The fourth proportional to 5,981.66, 8,258.37 and 3,857.95 is: 5,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.66 : 8,258.37 = 3,857.95 : x
  2. Step 2: Convert to fraction form
    5,981.66/8,258.37 = 3,857.95/x
  3. Step 3: Cross multiply
    5,981.66x = 8,258.37 × 3,857.95
  4. Step 4: Simplify right side
    5,981.66x = 31,860,337.25
  5. Step 5: Solve for x
    x = 31,860,337.25/5,981.66
  6. Step 6: Final answer
    x = 5,326.34

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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.