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Finding the Fourth Proportional to 6,507.98, 8,981.01 and 3,523.82

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Solution

The fourth proportional to 6,507.98, 8,981.01 and 3,523.82 is: 4,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.98 : 8,981.01 = 3,523.82 : x
  2. Step 2: Convert to fraction form
    6,507.98/8,981.01 = 3,523.82/x
  3. Step 3: Cross multiply
    6,507.98x = 8,981.01 × 3,523.82
  4. Step 4: Simplify right side
    6,507.98x = 31,647,417.75
  5. Step 5: Solve for x
    x = 31,647,417.75/6,507.98
  6. Step 6: Final answer
    x = 4,862.86

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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.