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Finding the Fourth Proportional to 6,549.54, 9,037.35 and 3,754.50

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Solution

The fourth proportional to 6,549.54, 9,037.35 and 3,754.50 is: 5,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.54 : 9,037.35 = 3,754.50 : x
  2. Step 2: Convert to fraction form
    6,549.54/9,037.35 = 3,754.50/x
  3. Step 3: Cross multiply
    6,549.54x = 9,037.35 × 3,754.50
  4. Step 4: Simplify right side
    6,549.54x = 33,930,730.58
  5. Step 5: Solve for x
    x = 33,930,730.58/6,549.54
  6. Step 6: Final answer
    x = 5,180.63

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