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Finding the Fourth Proportional to 4,196.99, 6,320.47 and 3,655.71

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Solution

The fourth proportional to 4,196.99, 6,320.47 and 3,655.71 is: 5,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.99 : 6,320.47 = 3,655.71 : x
  2. Step 2: Convert to fraction form
    4,196.99/6,320.47 = 3,655.71/x
  3. Step 3: Cross multiply
    4,196.99x = 6,320.47 × 3,655.71
  4. Step 4: Simplify right side
    4,196.99x = 23,105,772.54
  5. Step 5: Solve for x
    x = 23,105,772.54/4,196.99
  6. Step 6: Final answer
    x = 5,505.32

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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.