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Finding the Fourth Proportional to 7,272, 10,035.77 and 4,289.58

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Solution

The fourth proportional to 7,272, 10,035.77 and 4,289.58 is: 5,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272 : 10,035.77 = 4,289.58 : x
  2. Step 2: Convert to fraction form
    7,272/10,035.77 = 4,289.58/x
  3. Step 3: Cross multiply
    7,272x = 10,035.77 × 4,289.58
  4. Step 4: Simplify right side
    7,272x = 43,049,216.83
  5. Step 5: Solve for x
    x = 43,049,216.83/7,272
  6. Step 6: Final answer
    x = 5,919.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.