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Finding the Fourth Proportional to 6,299.87, 8,693.31 and 3,646.76

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Solution

The fourth proportional to 6,299.87, 8,693.31 and 3,646.76 is: 5,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.87 : 8,693.31 = 3,646.76 : x
  2. Step 2: Convert to fraction form
    6,299.87/8,693.31 = 3,646.76/x
  3. Step 3: Cross multiply
    6,299.87x = 8,693.31 × 3,646.76
  4. Step 4: Simplify right side
    6,299.87x = 31,702,415.18
  5. Step 5: Solve for x
    x = 31,702,415.18/6,299.87
  6. Step 6: Final answer
    x = 5,032.23

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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.