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Finding the Fourth Proportional to 4,706.07, 7,057.96 and 1,585.27

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Solution

The fourth proportional to 4,706.07, 7,057.96 and 1,585.27 is: 2,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.07 : 7,057.96 = 1,585.27 : x
  2. Step 2: Convert to fraction form
    4,706.07/7,057.96 = 1,585.27/x
  3. Step 3: Cross multiply
    4,706.07x = 7,057.96 × 1,585.27
  4. Step 4: Simplify right side
    4,706.07x = 11,188,772.25
  5. Step 5: Solve for x
    x = 11,188,772.25/4,706.07
  6. Step 6: Final answer
    x = 2,377.52

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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.