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Finding the Fourth Proportional to 3,833.01, 5,747.04 and 2,598.57

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Solution

The fourth proportional to 3,833.01, 5,747.04 and 2,598.57 is: 3,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.01 : 5,747.04 = 2,598.57 : x
  2. Step 2: Convert to fraction form
    3,833.01/5,747.04 = 2,598.57/x
  3. Step 3: Cross multiply
    3,833.01x = 5,747.04 × 2,598.57
  4. Step 4: Simplify right side
    3,833.01x = 14,934,085.73
  5. Step 5: Solve for x
    x = 14,934,085.73/3,833.01
  6. Step 6: Final answer
    x = 3,896.18

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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.