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Finding the Fourth Proportional to 3,466.79, 5,202.24 and 1,277.06

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Solution

The fourth proportional to 3,466.79, 5,202.24 and 1,277.06 is: 1,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.79 : 5,202.24 = 1,277.06 : x
  2. Step 2: Convert to fraction form
    3,466.79/5,202.24 = 1,277.06/x
  3. Step 3: Cross multiply
    3,466.79x = 5,202.24 × 1,277.06
  4. Step 4: Simplify right side
    3,466.79x = 6,643,546.60
  5. Step 5: Solve for x
    x = 6,643,546.60/3,466.79
  6. Step 6: Final answer
    x = 1,916.34

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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.