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Finding the Fourth Proportional to 4,289.40, 6,434.02 and 1,367.68

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Solution

The fourth proportional to 4,289.40, 6,434.02 and 1,367.68 is: 2,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.40 : 6,434.02 = 1,367.68 : x
  2. Step 2: Convert to fraction form
    4,289.40/6,434.02 = 1,367.68/x
  3. Step 3: Cross multiply
    4,289.40x = 6,434.02 × 1,367.68
  4. Step 4: Simplify right side
    4,289.40x = 8,799,680.47
  5. Step 5: Solve for x
    x = 8,799,680.47/4,289.40
  6. Step 6: Final answer
    x = 2,051.49

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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.