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Finding the Fourth Proportional to 5,735.33, 8,604.53 and 4,569.72

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Solution

The fourth proportional to 5,735.33, 8,604.53 and 4,569.72 is: 6,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.33 : 8,604.53 = 4,569.72 : x
  2. Step 2: Convert to fraction form
    5,735.33/8,604.53 = 4,569.72/x
  3. Step 3: Cross multiply
    5,735.33x = 8,604.53 × 4,569.72
  4. Step 4: Simplify right side
    5,735.33x = 39,320,292.83
  5. Step 5: Solve for x
    x = 39,320,292.83/5,735.33
  6. Step 6: Final answer
    x = 6,855.80

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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.