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Finding the Fourth Proportional to 5,730.75, 8,596.53 and 2,268

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Solution

The fourth proportional to 5,730.75, 8,596.53 and 2,268 is: 3,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.75 : 8,596.53 = 2,268 : x
  2. Step 2: Convert to fraction form
    5,730.75/8,596.53 = 2,268/x
  3. Step 3: Cross multiply
    5,730.75x = 8,596.53 × 2,268
  4. Step 4: Simplify right side
    5,730.75x = 19,496,930.04
  5. Step 5: Solve for x
    x = 19,496,930.04/5,730.75
  6. Step 6: Final answer
    x = 3,402.16

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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.