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Finding the Fourth Proportional to 4,947.28, 6,830.42 and 4,415.24

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Solution

The fourth proportional to 4,947.28, 6,830.42 and 4,415.24 is: 6,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.28 : 6,830.42 = 4,415.24 : x
  2. Step 2: Convert to fraction form
    4,947.28/6,830.42 = 4,415.24/x
  3. Step 3: Cross multiply
    4,947.28x = 6,830.42 × 4,415.24
  4. Step 4: Simplify right side
    4,947.28x = 30,157,943.60
  5. Step 5: Solve for x
    x = 30,157,943.60/4,947.28
  6. Step 6: Final answer
    x = 6,095.86

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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.