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Finding the Fourth Proportional to 4,137.47, 5,711.03 and 2,649.39

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Solution

The fourth proportional to 4,137.47, 5,711.03 and 2,649.39 is: 3,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.47 : 5,711.03 = 2,649.39 : x
  2. Step 2: Convert to fraction form
    4,137.47/5,711.03 = 2,649.39/x
  3. Step 3: Cross multiply
    4,137.47x = 5,711.03 × 2,649.39
  4. Step 4: Simplify right side
    4,137.47x = 15,130,745.77
  5. Step 5: Solve for x
    x = 15,130,745.77/4,137.47
  6. Step 6: Final answer
    x = 3,657.00

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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.