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Finding the Fourth Proportional to 4,594.78, 6,342.23 and 2,706.21

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Solution

The fourth proportional to 4,594.78, 6,342.23 and 2,706.21 is: 3,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.78 : 6,342.23 = 2,706.21 : x
  2. Step 2: Convert to fraction form
    4,594.78/6,342.23 = 2,706.21/x
  3. Step 3: Cross multiply
    4,594.78x = 6,342.23 × 2,706.21
  4. Step 4: Simplify right side
    4,594.78x = 17,163,406.25
  5. Step 5: Solve for x
    x = 17,163,406.25/4,594.78
  6. Step 6: Final answer
    x = 3,735.41

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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.