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Finding the Fourth Proportional to 3,007.54, 4,148.56 and 2,796.40

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Solution

The fourth proportional to 3,007.54, 4,148.56 and 2,796.40 is: 3,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.54 : 4,148.56 = 2,796.40 : x
  2. Step 2: Convert to fraction form
    3,007.54/4,148.56 = 2,796.40/x
  3. Step 3: Cross multiply
    3,007.54x = 4,148.56 × 2,796.40
  4. Step 4: Simplify right side
    3,007.54x = 11,601,033.18
  5. Step 5: Solve for x
    x = 11,601,033.18/3,007.54
  6. Step 6: Final answer
    x = 3,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.