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Finding the Fourth Proportional to 6,098.98, 8,415.84 and 4,329.94

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Solution

The fourth proportional to 6,098.98, 8,415.84 and 4,329.94 is: 5,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.98 : 8,415.84 = 4,329.94 : x
  2. Step 2: Convert to fraction form
    6,098.98/8,415.84 = 4,329.94/x
  3. Step 3: Cross multiply
    6,098.98x = 8,415.84 × 4,329.94
  4. Step 4: Simplify right side
    6,098.98x = 36,440,082.25
  5. Step 5: Solve for x
    x = 36,440,082.25/6,098.98
  6. Step 6: Final answer
    x = 5,974.78

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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.