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Finding the Fourth Proportional to 4,704.97, 6,476.57 and 4,066.62

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Solution

The fourth proportional to 4,704.97, 6,476.57 and 4,066.62 is: 5,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.97 : 6,476.57 = 4,066.62 : x
  2. Step 2: Convert to fraction form
    4,704.97/6,476.57 = 4,066.62/x
  3. Step 3: Cross multiply
    4,704.97x = 6,476.57 × 4,066.62
  4. Step 4: Simplify right side
    4,704.97x = 26,337,748.53
  5. Step 5: Solve for x
    x = 26,337,748.53/4,704.97
  6. Step 6: Final answer
    x = 5,597.85

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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.