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Finding the Fourth Proportional to 5,701.70, 7,868.34 and 3,462.98

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Solution

The fourth proportional to 5,701.70, 7,868.34 and 3,462.98 is: 4,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.70 : 7,868.34 = 3,462.98 : x
  2. Step 2: Convert to fraction form
    5,701.70/7,868.34 = 3,462.98/x
  3. Step 3: Cross multiply
    5,701.70x = 7,868.34 × 3,462.98
  4. Step 4: Simplify right side
    5,701.70x = 27,247,904.05
  5. Step 5: Solve for x
    x = 27,247,904.05/5,701.70
  6. Step 6: Final answer
    x = 4,778.91

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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.