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Finding the Fourth Proportional to 6,652.83, 9,980.34 and 2,034.75

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Solution

The fourth proportional to 6,652.83, 9,980.34 and 2,034.75 is: 3,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.83 : 9,980.34 = 2,034.75 : x
  2. Step 2: Convert to fraction form
    6,652.83/9,980.34 = 2,034.75/x
  3. Step 3: Cross multiply
    6,652.83x = 9,980.34 × 2,034.75
  4. Step 4: Simplify right side
    6,652.83x = 20,307,496.82
  5. Step 5: Solve for x
    x = 20,307,496.82/6,652.83
  6. Step 6: Final answer
    x = 3,052.46

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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.