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Finding the Fourth Proportional to 6,435.52, 9,652.66 and 2,052.20

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Solution

The fourth proportional to 6,435.52, 9,652.66 and 2,052.20 is: 3,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.52 : 9,652.66 = 2,052.20 : x
  2. Step 2: Convert to fraction form
    6,435.52/9,652.66 = 2,052.20/x
  3. Step 3: Cross multiply
    6,435.52x = 9,652.66 × 2,052.20
  4. Step 4: Simplify right side
    6,435.52x = 19,809,188.85
  5. Step 5: Solve for x
    x = 19,809,188.85/6,435.52
  6. Step 6: Final answer
    x = 3,078.10

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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.