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Finding the Fourth Proportional to 6,507.82, 8,980.75 and 3,523.59

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Solution

The fourth proportional to 6,507.82, 8,980.75 and 3,523.59 is: 4,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.82 : 8,980.75 = 3,523.59 : x
  2. Step 2: Convert to fraction form
    6,507.82/8,980.75 = 3,523.59/x
  3. Step 3: Cross multiply
    6,507.82x = 8,980.75 × 3,523.59
  4. Step 4: Simplify right side
    6,507.82x = 31,644,485.30
  5. Step 5: Solve for x
    x = 31,644,485.30/6,507.82
  6. Step 6: Final answer
    x = 4,862.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.