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Finding the Fourth Proportional to 5,064, 7,600.26 and 2,725.74

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Solution

The fourth proportional to 5,064, 7,600.26 and 2,725.74 is: 4,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064 : 7,600.26 = 2,725.74 : x
  2. Step 2: Convert to fraction form
    5,064/7,600.26 = 2,725.74/x
  3. Step 3: Cross multiply
    5,064x = 7,600.26 × 2,725.74
  4. Step 4: Simplify right side
    5,064x = 20,716,332.69
  5. Step 5: Solve for x
    x = 20,716,332.69/5,064
  6. Step 6: Final answer
    x = 4,090.90

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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.