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Finding the Fourth Proportional to 3,468.60, 5,202.83 and 969.72

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Solution

The fourth proportional to 3,468.60, 5,202.83 and 969.72 is: 1,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.60 : 5,202.83 = 969.72 : x
  2. Step 2: Convert to fraction form
    3,468.60/5,202.83 = 969.72/x
  3. Step 3: Cross multiply
    3,468.60x = 5,202.83 × 969.72
  4. Step 4: Simplify right side
    3,468.60x = 5,045,283.46
  5. Step 5: Solve for x
    x = 5,045,283.46/3,468.60
  6. Step 6: Final answer
    x = 1,454.56

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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.