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Finding the Fourth Proportional to 6,308.82, 8,706.47 and 3,657.06

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Solution

The fourth proportional to 6,308.82, 8,706.47 and 3,657.06 is: 5,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.82 : 8,706.47 = 3,657.06 : x
  2. Step 2: Convert to fraction form
    6,308.82/8,706.47 = 3,657.06/x
  3. Step 3: Cross multiply
    6,308.82x = 8,706.47 × 3,657.06
  4. Step 4: Simplify right side
    6,308.82x = 31,840,064.89
  5. Step 5: Solve for x
    x = 31,840,064.89/6,308.82
  6. Step 6: Final answer
    x = 5,046.91

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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.