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Finding the Fourth Proportional to 4,866.25, 6,708.43 and 3,466.57

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Solution

The fourth proportional to 4,866.25, 6,708.43 and 3,466.57 is: 4,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.25 : 6,708.43 = 3,466.57 : x
  2. Step 2: Convert to fraction form
    4,866.25/6,708.43 = 3,466.57/x
  3. Step 3: Cross multiply
    4,866.25x = 6,708.43 × 3,466.57
  4. Step 4: Simplify right side
    4,866.25x = 23,255,232.37
  5. Step 5: Solve for x
    x = 23,255,232.37/4,866.25
  6. Step 6: Final answer
    x = 4,778.88

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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.