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Finding the Fourth Proportional to 5,801.76, 8,017.92 and 4,868.64

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Solution

The fourth proportional to 5,801.76, 8,017.92 and 4,868.64 is: 6,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.76 : 8,017.92 = 4,868.64 : x
  2. Step 2: Convert to fraction form
    5,801.76/8,017.92 = 4,868.64/x
  3. Step 3: Cross multiply
    5,801.76x = 8,017.92 × 4,868.64
  4. Step 4: Simplify right side
    5,801.76x = 39,036,366.03
  5. Step 5: Solve for x
    x = 39,036,366.03/5,801.76
  6. Step 6: Final answer
    x = 6,728.37

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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.