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Finding the Fourth Proportional to 3,152.57, 4,728.56 and 1,486.31

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Solution

The fourth proportional to 3,152.57, 4,728.56 and 1,486.31 is: 2,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.57 : 4,728.56 = 1,486.31 : x
  2. Step 2: Convert to fraction form
    3,152.57/4,728.56 = 1,486.31/x
  3. Step 3: Cross multiply
    3,152.57x = 4,728.56 × 1,486.31
  4. Step 4: Simplify right side
    3,152.57x = 7,028,074.94
  5. Step 5: Solve for x
    x = 7,028,074.94/3,152.57
  6. Step 6: Final answer
    x = 2,229.32

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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.