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Finding the Fourth Proportional to 4,649.19, 6,964.52 and 3,402.41

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Solution

The fourth proportional to 4,649.19, 6,964.52 and 3,402.41 is: 5,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.19 : 6,964.52 = 3,402.41 : x
  2. Step 2: Convert to fraction form
    4,649.19/6,964.52 = 3,402.41/x
  3. Step 3: Cross multiply
    4,649.19x = 6,964.52 × 3,402.41
  4. Step 4: Simplify right side
    4,649.19x = 23,696,152.49
  5. Step 5: Solve for x
    x = 23,696,152.49/4,649.19
  6. Step 6: Final answer
    x = 5,096.83

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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.