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Finding the Fourth Proportional to 6,092.46, 8,406.18 and 4,205.70

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Solution

The fourth proportional to 6,092.46, 8,406.18 and 4,205.70 is: 5,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.46 : 8,406.18 = 4,205.70 : x
  2. Step 2: Convert to fraction form
    6,092.46/8,406.18 = 4,205.70/x
  3. Step 3: Cross multiply
    6,092.46x = 8,406.18 × 4,205.70
  4. Step 4: Simplify right side
    6,092.46x = 35,353,871.23
  5. Step 5: Solve for x
    x = 35,353,871.23/6,092.46
  6. Step 6: Final answer
    x = 5,802.89

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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.