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Finding the Fourth Proportional to 6,298.49, 8,689.48 and 3,644.93

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Solution

The fourth proportional to 6,298.49, 8,689.48 and 3,644.93 is: 5,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.49 : 8,689.48 = 3,644.93 : x
  2. Step 2: Convert to fraction form
    6,298.49/8,689.48 = 3,644.93/x
  3. Step 3: Cross multiply
    6,298.49x = 8,689.48 × 3,644.93
  4. Step 4: Simplify right side
    6,298.49x = 31,672,558.95
  5. Step 5: Solve for x
    x = 31,672,558.95/6,298.49
  6. Step 6: Final answer
    x = 5,028.59

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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.