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Finding the Fourth Proportional to 6,299.49, 8,690.86 and 3,645.93

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Solution

The fourth proportional to 6,299.49, 8,690.86 and 3,645.93 is: 5,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.49 : 8,690.86 = 3,645.93 : x
  2. Step 2: Convert to fraction form
    6,299.49/8,690.86 = 3,645.93/x
  3. Step 3: Cross multiply
    6,299.49x = 8,690.86 × 3,645.93
  4. Step 4: Simplify right side
    6,299.49x = 31,686,267.20
  5. Step 5: Solve for x
    x = 31,686,267.20/6,299.49
  6. Step 6: Final answer
    x = 5,029.97

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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.