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Finding the Fourth Proportional to 5,831.93, 8,751.54 and 3,885.50

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Solution

The fourth proportional to 5,831.93, 8,751.54 and 3,885.50 is: 5,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.93 : 8,751.54 = 3,885.50 : x
  2. Step 2: Convert to fraction form
    5,831.93/8,751.54 = 3,885.50/x
  3. Step 3: Cross multiply
    5,831.93x = 8,751.54 × 3,885.50
  4. Step 4: Simplify right side
    5,831.93x = 34,004,064.91
  5. Step 5: Solve for x
    x = 34,004,064.91/5,831.93
  6. Step 6: Final answer
    x = 5,830.68

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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.