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Finding the Fourth Proportional to 4,695.93, 6,480.20 and 2,706.84

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Solution

The fourth proportional to 4,695.93, 6,480.20 and 2,706.84 is: 3,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.93 : 6,480.20 = 2,706.84 : x
  2. Step 2: Convert to fraction form
    4,695.93/6,480.20 = 2,706.84/x
  3. Step 3: Cross multiply
    4,695.93x = 6,480.20 × 2,706.84
  4. Step 4: Simplify right side
    4,695.93x = 17,540,871.34
  5. Step 5: Solve for x
    x = 17,540,871.34/4,695.93
  6. Step 6: Final answer
    x = 3,735.33

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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.