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Finding the Fourth Proportional to 6,111.95, 8,422.40 and 4,338.59

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Solution

The fourth proportional to 6,111.95, 8,422.40 and 4,338.59 is: 5,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.95 : 8,422.40 = 4,338.59 : x
  2. Step 2: Convert to fraction form
    6,111.95/8,422.40 = 4,338.59/x
  3. Step 3: Cross multiply
    6,111.95x = 8,422.40 × 4,338.59
  4. Step 4: Simplify right side
    6,111.95x = 36,541,318.72
  5. Step 5: Solve for x
    x = 36,541,318.72/6,111.95
  6. Step 6: Final answer
    x = 5,978.67

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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.