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Finding the Fourth Proportional to 5,979, 8,258.48 and 4,218.47

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Solution

The fourth proportional to 5,979, 8,258.48 and 4,218.47 is: 5,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979 : 8,258.48 = 4,218.47 : x
  2. Step 2: Convert to fraction form
    5,979/8,258.48 = 4,218.47/x
  3. Step 3: Cross multiply
    5,979x = 8,258.48 × 4,218.47
  4. Step 4: Simplify right side
    5,979x = 34,838,087.74
  5. Step 5: Solve for x
    x = 34,838,087.74/5,979
  6. Step 6: Final answer
    x = 5,826.74

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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.