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Finding the Fourth Proportional to 5,264.49, 7,898.22 and 2,146.71

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Solution

The fourth proportional to 5,264.49, 7,898.22 and 2,146.71 is: 3,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.49 : 7,898.22 = 2,146.71 : x
  2. Step 2: Convert to fraction form
    5,264.49/7,898.22 = 2,146.71/x
  3. Step 3: Cross multiply
    5,264.49x = 7,898.22 × 2,146.71
  4. Step 4: Simplify right side
    5,264.49x = 16,955,187.86
  5. Step 5: Solve for x
    x = 16,955,187.86/5,264.49
  6. Step 6: Final answer
    x = 3,220.67

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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.