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Finding the Fourth Proportional to 6,548.26, 9,037.77 and 4,190.32

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Solution

The fourth proportional to 6,548.26, 9,037.77 and 4,190.32 is: 5,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.26 : 9,037.77 = 4,190.32 : x
  2. Step 2: Convert to fraction form
    6,548.26/9,037.77 = 4,190.32/x
  3. Step 3: Cross multiply
    6,548.26x = 9,037.77 × 4,190.32
  4. Step 4: Simplify right side
    6,548.26x = 37,871,148.39
  5. Step 5: Solve for x
    x = 37,871,148.39/6,548.26
  6. Step 6: Final answer
    x = 5,783.39

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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.