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Finding the Fourth Proportional to 5,574.38, 7,694.46 and 4,007.03

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Solution

The fourth proportional to 5,574.38, 7,694.46 and 4,007.03 is: 5,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.38 : 7,694.46 = 4,007.03 : x
  2. Step 2: Convert to fraction form
    5,574.38/7,694.46 = 4,007.03/x
  3. Step 3: Cross multiply
    5,574.38x = 7,694.46 × 4,007.03
  4. Step 4: Simplify right side
    5,574.38x = 30,831,893.58
  5. Step 5: Solve for x
    x = 30,831,893.58/5,574.38
  6. Step 6: Final answer
    x = 5,531.00

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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.