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Finding the Fourth Proportional to 4,902.16, 7,345.92 and 3,801.28

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Solution

The fourth proportional to 4,902.16, 7,345.92 and 3,801.28 is: 5,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.16 : 7,345.92 = 3,801.28 : x
  2. Step 2: Convert to fraction form
    4,902.16/7,345.92 = 3,801.28/x
  3. Step 3: Cross multiply
    4,902.16x = 7,345.92 × 3,801.28
  4. Step 4: Simplify right side
    4,902.16x = 27,923,898.78
  5. Step 5: Solve for x
    x = 27,923,898.78/4,902.16
  6. Step 6: Final answer
    x = 5,696.24

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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.