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Finding the Fourth Proportional to 6,047.56, 8,345.72 and 3,394.80

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Solution

The fourth proportional to 6,047.56, 8,345.72 and 3,394.80 is: 4,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.56 : 8,345.72 = 3,394.80 : x
  2. Step 2: Convert to fraction form
    6,047.56/8,345.72 = 3,394.80/x
  3. Step 3: Cross multiply
    6,047.56x = 8,345.72 × 3,394.80
  4. Step 4: Simplify right side
    6,047.56x = 28,332,050.26
  5. Step 5: Solve for x
    x = 28,332,050.26/6,047.56
  6. Step 6: Final answer
    x = 4,684.87

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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.