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Finding the Fourth Proportional to 6,111.84, 8,433.90 and 3,459.54

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Solution

The fourth proportional to 6,111.84, 8,433.90 and 3,459.54 is: 4,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.84 : 8,433.90 = 3,459.54 : x
  2. Step 2: Convert to fraction form
    6,111.84/8,433.90 = 3,459.54/x
  3. Step 3: Cross multiply
    6,111.84x = 8,433.90 × 3,459.54
  4. Step 4: Simplify right side
    6,111.84x = 29,177,414.41
  5. Step 5: Solve for x
    x = 29,177,414.41/6,111.84
  6. Step 6: Final answer
    x = 4,773.92

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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.