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Finding the Fourth Proportional to 5,831.71, 8,750.13 and 2,134.49

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Solution

The fourth proportional to 5,831.71, 8,750.13 and 2,134.49 is: 3,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.71 : 8,750.13 = 2,134.49 : x
  2. Step 2: Convert to fraction form
    5,831.71/8,750.13 = 2,134.49/x
  3. Step 3: Cross multiply
    5,831.71x = 8,750.13 × 2,134.49
  4. Step 4: Simplify right side
    5,831.71x = 18,677,050.14
  5. Step 5: Solve for x
    x = 18,677,050.14/5,831.71
  6. Step 6: Final answer
    x = 3,202.67

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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.