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Finding the Fourth Proportional to 4,649.69, 6,965.27 and 3,402.91

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Solution

The fourth proportional to 4,649.69, 6,965.27 and 3,402.91 is: 5,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.69 : 6,965.27 = 3,402.91 : x
  2. Step 2: Convert to fraction form
    4,649.69/6,965.27 = 3,402.91/x
  3. Step 3: Cross multiply
    4,649.69x = 6,965.27 × 3,402.91
  4. Step 4: Simplify right side
    4,649.69x = 23,702,186.94
  5. Step 5: Solve for x
    x = 23,702,186.94/4,649.69
  6. Step 6: Final answer
    x = 5,097.58

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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.