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Finding the Fourth Proportional to 4,706.94, 6,502.33 and 3,761.49

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Solution

The fourth proportional to 4,706.94, 6,502.33 and 3,761.49 is: 5,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.94 : 6,502.33 = 3,761.49 : x
  2. Step 2: Convert to fraction form
    4,706.94/6,502.33 = 3,761.49/x
  3. Step 3: Cross multiply
    4,706.94x = 6,502.33 × 3,761.49
  4. Step 4: Simplify right side
    4,706.94x = 24,458,397.95
  5. Step 5: Solve for x
    x = 24,458,397.95/4,706.94
  6. Step 6: Final answer
    x = 5,196.25

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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.