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Finding the Fourth Proportional to 3,466.36, 5,199.51 and 869.29

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Solution

The fourth proportional to 3,466.36, 5,199.51 and 869.29 is: 1,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.36 : 5,199.51 = 869.29 : x
  2. Step 2: Convert to fraction form
    3,466.36/5,199.51 = 869.29/x
  3. Step 3: Cross multiply
    3,466.36x = 5,199.51 × 869.29
  4. Step 4: Simplify right side
    3,466.36x = 4,519,856.05
  5. Step 5: Solve for x
    x = 4,519,856.05/3,466.36
  6. Step 6: Final answer
    x = 1,303.92

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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.