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Finding the Fourth Proportional to 6,115.95, 8,427.90 and 4,342.59

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Solution

The fourth proportional to 6,115.95, 8,427.90 and 4,342.59 is: 5,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.95 : 8,427.90 = 4,342.59 : x
  2. Step 2: Convert to fraction form
    6,115.95/8,427.90 = 4,342.59/x
  3. Step 3: Cross multiply
    6,115.95x = 8,427.90 × 4,342.59
  4. Step 4: Simplify right side
    6,115.95x = 36,598,914.26
  5. Step 5: Solve for x
    x = 36,598,914.26/6,115.95
  6. Step 6: Final answer
    x = 5,984.17

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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.