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Finding the Fourth Proportional to 4,705.20, 7,059.96 and 4,627.44

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Solution

The fourth proportional to 4,705.20, 7,059.96 and 4,627.44 is: 6,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.20 : 7,059.96 = 4,627.44 : x
  2. Step 2: Convert to fraction form
    4,705.20/7,059.96 = 4,627.44/x
  3. Step 3: Cross multiply
    4,705.20x = 7,059.96 × 4,627.44
  4. Step 4: Simplify right side
    4,705.20x = 32,669,541.30
  5. Step 5: Solve for x
    x = 32,669,541.30/4,705.20
  6. Step 6: Final answer
    x = 6,943.28

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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.