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Finding the Fourth Proportional to 6,047.70, 8,345.25 and 3,394.50

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Solution

The fourth proportional to 6,047.70, 8,345.25 and 3,394.50 is: 4,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.70 : 8,345.25 = 3,394.50 : x
  2. Step 2: Convert to fraction form
    6,047.70/8,345.25 = 3,394.50/x
  3. Step 3: Cross multiply
    6,047.70x = 8,345.25 × 3,394.50
  4. Step 4: Simplify right side
    6,047.70x = 28,327,951.13
  5. Step 5: Solve for x
    x = 28,327,951.13/6,047.70
  6. Step 6: Final answer
    x = 4,684.09

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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.