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Finding the Fourth Proportional to 3,953.26, 5,929.82 and 2,289.86

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Solution

The fourth proportional to 3,953.26, 5,929.82 and 2,289.86 is: 3,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.26 : 5,929.82 = 2,289.86 : x
  2. Step 2: Convert to fraction form
    3,953.26/5,929.82 = 2,289.86/x
  3. Step 3: Cross multiply
    3,953.26x = 5,929.82 × 2,289.86
  4. Step 4: Simplify right side
    3,953.26x = 13,578,457.63
  5. Step 5: Solve for x
    x = 13,578,457.63/3,953.26
  6. Step 6: Final answer
    x = 3,434.75

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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.