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Finding the Fourth Proportional to 4,706.69, 6,501.98 and 3,761.24

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Solution

The fourth proportional to 4,706.69, 6,501.98 and 3,761.24 is: 5,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.69 : 6,501.98 = 3,761.24 : x
  2. Step 2: Convert to fraction form
    4,706.69/6,501.98 = 3,761.24/x
  3. Step 3: Cross multiply
    4,706.69x = 6,501.98 × 3,761.24
  4. Step 4: Simplify right side
    4,706.69x = 24,455,474.75
  5. Step 5: Solve for x
    x = 24,455,474.75/4,706.69
  6. Step 6: Final answer
    x = 5,195.90

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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.