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Finding the Fourth Proportional to 4,097.48, 6,146.22 and 3,533.72

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Solution

The fourth proportional to 4,097.48, 6,146.22 and 3,533.72 is: 5,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.48 : 6,146.22 = 3,533.72 : x
  2. Step 2: Convert to fraction form
    4,097.48/6,146.22 = 3,533.72/x
  3. Step 3: Cross multiply
    4,097.48x = 6,146.22 × 3,533.72
  4. Step 4: Simplify right side
    4,097.48x = 21,719,020.54
  5. Step 5: Solve for x
    x = 21,719,020.54/4,097.48
  6. Step 6: Final answer
    x = 5,300.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.