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Finding the Fourth Proportional to 6,098.50, 8,415.95 and 3,409.82

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Solution

The fourth proportional to 6,098.50, 8,415.95 and 3,409.82 is: 4,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.50 : 8,415.95 = 3,409.82 : x
  2. Step 2: Convert to fraction form
    6,098.50/8,415.95 = 3,409.82/x
  3. Step 3: Cross multiply
    6,098.50x = 8,415.95 × 3,409.82
  4. Step 4: Simplify right side
    6,098.50x = 28,696,839.18
  5. Step 5: Solve for x
    x = 28,696,839.18/6,098.50
  6. Step 6: Final answer
    x = 4,705.55

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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.