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Finding the Fourth Proportional to 5,797.56, 8,002.61 and 3,907.93

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Solution

The fourth proportional to 5,797.56, 8,002.61 and 3,907.93 is: 5,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.56 : 8,002.61 = 3,907.93 : x
  2. Step 2: Convert to fraction form
    5,797.56/8,002.61 = 3,907.93/x
  3. Step 3: Cross multiply
    5,797.56x = 8,002.61 × 3,907.93
  4. Step 4: Simplify right side
    5,797.56x = 31,273,639.70
  5. Step 5: Solve for x
    x = 31,273,639.70/5,797.56
  6. Step 6: Final answer
    x = 5,394.28

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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.