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Finding the Fourth Proportional to 5,728.30, 8,592.44 and 1,568.34

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Solution

The fourth proportional to 5,728.30, 8,592.44 and 1,568.34 is: 2,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.30 : 8,592.44 = 1,568.34 : x
  2. Step 2: Convert to fraction form
    5,728.30/8,592.44 = 1,568.34/x
  3. Step 3: Cross multiply
    5,728.30x = 8,592.44 × 1,568.34
  4. Step 4: Simplify right side
    5,728.30x = 13,475,867.35
  5. Step 5: Solve for x
    x = 13,475,867.35/5,728.30
  6. Step 6: Final answer
    x = 2,352.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.