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Finding the Fourth Proportional to 6,092.34, 8,406.96 and 3,439.98

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Solution

The fourth proportional to 6,092.34, 8,406.96 and 3,439.98 is: 4,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.34 : 8,406.96 = 3,439.98 : x
  2. Step 2: Convert to fraction form
    6,092.34/8,406.96 = 3,439.98/x
  3. Step 3: Cross multiply
    6,092.34x = 8,406.96 × 3,439.98
  4. Step 4: Simplify right side
    6,092.34x = 28,919,774.26
  5. Step 5: Solve for x
    x = 28,919,774.26/6,092.34
  6. Step 6: Final answer
    x = 4,746.91

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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.