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Finding the Fourth Proportional to 4,196.68, 6,320.00 and 3,655.40

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Solution

The fourth proportional to 4,196.68, 6,320.00 and 3,655.40 is: 5,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.68 : 6,320.00 = 3,655.40 : x
  2. Step 2: Convert to fraction form
    4,196.68/6,320.00 = 3,655.40/x
  3. Step 3: Cross multiply
    4,196.68x = 6,320.00 × 3,655.40
  4. Step 4: Simplify right side
    4,196.68x = 23,102,078.12
  5. Step 5: Solve for x
    x = 23,102,078.12/4,196.68
  6. Step 6: Final answer
    x = 5,504.85

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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.