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Finding the Fourth Proportional to 5,984.82, 8,258.69 and 3,466.77

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Solution

The fourth proportional to 5,984.82, 8,258.69 and 3,466.77 is: 4,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.82 : 8,258.69 = 3,466.77 : x
  2. Step 2: Convert to fraction form
    5,984.82/8,258.69 = 3,466.77/x
  3. Step 3: Cross multiply
    5,984.82x = 8,258.69 × 3,466.77
  4. Step 4: Simplify right side
    5,984.82x = 28,630,956.43
  5. Step 5: Solve for x
    x = 28,630,956.43/5,984.82
  6. Step 6: Final answer
    x = 4,783.93

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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.