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Finding the Fourth Proportional to 3,466.46, 5,199.63 and 869.36

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Solution

The fourth proportional to 3,466.46, 5,199.63 and 869.36 is: 1,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.46 : 5,199.63 = 869.36 : x
  2. Step 2: Convert to fraction form
    3,466.46/5,199.63 = 869.36/x
  3. Step 3: Cross multiply
    3,466.46x = 5,199.63 × 869.36
  4. Step 4: Simplify right side
    3,466.46x = 4,520,350.34
  5. Step 5: Solve for x
    x = 4,520,350.34/3,466.46
  6. Step 6: Final answer
    x = 1,304.02

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