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Finding the Fourth Proportional to 5,984.81, 8,258.71 and 3,466.72

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Solution

The fourth proportional to 5,984.81, 8,258.71 and 3,466.72 is: 4,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.81 : 8,258.71 = 3,466.72 : x
  2. Step 2: Convert to fraction form
    5,984.81/8,258.71 = 3,466.72/x
  3. Step 3: Cross multiply
    5,984.81x = 8,258.71 × 3,466.72
  4. Step 4: Simplify right side
    5,984.81x = 28,630,576.50
  5. Step 5: Solve for x
    x = 28,630,576.50/5,984.81
  6. Step 6: Final answer
    x = 4,783.88

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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.