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Finding the Fourth Proportional to 4,728.54, 7,095.20 and 1,957.20

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Solution

The fourth proportional to 4,728.54, 7,095.20 and 1,957.20 is: 2,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.54 : 7,095.20 = 1,957.20 : x
  2. Step 2: Convert to fraction form
    4,728.54/7,095.20 = 1,957.20/x
  3. Step 3: Cross multiply
    4,728.54x = 7,095.20 × 1,957.20
  4. Step 4: Simplify right side
    4,728.54x = 13,886,725.44
  5. Step 5: Solve for x
    x = 13,886,725.44/4,728.54
  6. Step 6: Final answer
    x = 2,936.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.