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Finding the Fourth Proportional to 6,297.02, 8,687.50 and 3,643.46

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Solution

The fourth proportional to 6,297.02, 8,687.50 and 3,643.46 is: 5,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.02 : 8,687.50 = 3,643.46 : x
  2. Step 2: Convert to fraction form
    6,297.02/8,687.50 = 3,643.46/x
  3. Step 3: Cross multiply
    6,297.02x = 8,687.50 × 3,643.46
  4. Step 4: Simplify right side
    6,297.02x = 31,652,558.75
  5. Step 5: Solve for x
    x = 31,652,558.75/6,297.02
  6. Step 6: Final answer
    x = 5,026.59

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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.