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Finding the Fourth Proportional to 4,615.75, 6,929.43 and 3,845.11

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Solution

The fourth proportional to 4,615.75, 6,929.43 and 3,845.11 is: 5,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.75 : 6,929.43 = 3,845.11 : x
  2. Step 2: Convert to fraction form
    4,615.75/6,929.43 = 3,845.11/x
  3. Step 3: Cross multiply
    4,615.75x = 6,929.43 × 3,845.11
  4. Step 4: Simplify right side
    4,615.75x = 26,644,420.59
  5. Step 5: Solve for x
    x = 26,644,420.59/4,615.75
  6. Step 6: Final answer
    x = 5,772.50

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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.