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Finding the Fourth Proportional to 4,732.60, 7,102.20 and 1,959.30

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Solution

The fourth proportional to 4,732.60, 7,102.20 and 1,959.30 is: 2,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.60 : 7,102.20 = 1,959.30 : x
  2. Step 2: Convert to fraction form
    4,732.60/7,102.20 = 1,959.30/x
  3. Step 3: Cross multiply
    4,732.60x = 7,102.20 × 1,959.30
  4. Step 4: Simplify right side
    4,732.60x = 13,915,340.46
  5. Step 5: Solve for x
    x = 13,915,340.46/4,732.60
  6. Step 6: Final answer
    x = 2,940.32

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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.