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Finding the Fourth Proportional to 5,857.41, 8,083.38 and 3,500.93

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Solution

The fourth proportional to 5,857.41, 8,083.38 and 3,500.93 is: 4,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.41 : 8,083.38 = 3,500.93 : x
  2. Step 2: Convert to fraction form
    5,857.41/8,083.38 = 3,500.93/x
  3. Step 3: Cross multiply
    5,857.41x = 8,083.38 × 3,500.93
  4. Step 4: Simplify right side
    5,857.41x = 28,299,307.13
  5. Step 5: Solve for x
    x = 28,299,307.13/5,857.41
  6. Step 6: Final answer
    x = 4,831.37

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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.