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Finding the Fourth Proportional to 5,466.76, 8,200.10 and 4,724.11

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Solution

The fourth proportional to 5,466.76, 8,200.10 and 4,724.11 is: 7,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.76 : 8,200.10 = 4,724.11 : x
  2. Step 2: Convert to fraction form
    5,466.76/8,200.10 = 4,724.11/x
  3. Step 3: Cross multiply
    5,466.76x = 8,200.10 × 4,724.11
  4. Step 4: Simplify right side
    5,466.76x = 38,738,174.41
  5. Step 5: Solve for x
    x = 38,738,174.41/5,466.76
  6. Step 6: Final answer
    x = 7,086.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.