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Finding the Fourth Proportional to 5,706.78, 7,860.71 and 4,025.23

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Solution

The fourth proportional to 5,706.78, 7,860.71 and 4,025.23 is: 5,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.78 : 7,860.71 = 4,025.23 : x
  2. Step 2: Convert to fraction form
    5,706.78/7,860.71 = 4,025.23/x
  3. Step 3: Cross multiply
    5,706.78x = 7,860.71 × 4,025.23
  4. Step 4: Simplify right side
    5,706.78x = 31,641,172.31
  5. Step 5: Solve for x
    x = 31,641,172.31/5,706.78
  6. Step 6: Final answer
    x = 5,544.49

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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.