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Finding the Fourth Proportional to 4,711.70, 7,067.55 and 3,071.45

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Solution

The fourth proportional to 4,711.70, 7,067.55 and 3,071.45 is: 4,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.70 : 7,067.55 = 3,071.45 : x
  2. Step 2: Convert to fraction form
    4,711.70/7,067.55 = 3,071.45/x
  3. Step 3: Cross multiply
    4,711.70x = 7,067.55 × 3,071.45
  4. Step 4: Simplify right side
    4,711.70x = 21,707,626.45
  5. Step 5: Solve for x
    x = 21,707,626.45/4,711.70
  6. Step 6: Final answer
    x = 4,607.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.