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Finding the Fourth Proportional to 4,296.66, 6,474.25 and 3,533.74

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Solution

The fourth proportional to 4,296.66, 6,474.25 and 3,533.74 is: 5,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.66 : 6,474.25 = 3,533.74 : x
  2. Step 2: Convert to fraction form
    4,296.66/6,474.25 = 3,533.74/x
  3. Step 3: Cross multiply
    4,296.66x = 6,474.25 × 3,533.74
  4. Step 4: Simplify right side
    4,296.66x = 22,878,316.20
  5. Step 5: Solve for x
    x = 22,878,316.20/4,296.66
  6. Step 6: Final answer
    x = 5,324.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.