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Finding the Fourth Proportional to 6,201.64, 8,558.28 and 3,549

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Solution

The fourth proportional to 6,201.64, 8,558.28 and 3,549 is: 4,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.64 : 8,558.28 = 3,549 : x
  2. Step 2: Convert to fraction form
    6,201.64/8,558.28 = 3,549/x
  3. Step 3: Cross multiply
    6,201.64x = 8,558.28 × 3,549
  4. Step 4: Simplify right side
    6,201.64x = 30,373,335.72
  5. Step 5: Solve for x
    x = 30,373,335.72/6,201.64
  6. Step 6: Final answer
    x = 4,897.63

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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.