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Finding the Fourth Proportional to 3,466.31, 5,199.47 and 869.24

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Solution

The fourth proportional to 3,466.31, 5,199.47 and 869.24 is: 1,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.31 : 5,199.47 = 869.24 : x
  2. Step 2: Convert to fraction form
    3,466.31/5,199.47 = 869.24/x
  3. Step 3: Cross multiply
    3,466.31x = 5,199.47 × 869.24
  4. Step 4: Simplify right side
    3,466.31x = 4,519,582.96
  5. Step 5: Solve for x
    x = 4,519,582.96/3,466.31
  6. Step 6: Final answer
    x = 1,303.86

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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.