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Finding the Fourth Proportional to 4,865.64, 6,715.04 and 3,097.12

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Solution

The fourth proportional to 4,865.64, 6,715.04 and 3,097.12 is: 4,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.64 : 6,715.04 = 3,097.12 : x
  2. Step 2: Convert to fraction form
    4,865.64/6,715.04 = 3,097.12/x
  3. Step 3: Cross multiply
    4,865.64x = 6,715.04 × 3,097.12
  4. Step 4: Simplify right side
    4,865.64x = 20,797,284.68
  5. Step 5: Solve for x
    x = 20,797,284.68/4,865.64
  6. Step 6: Final answer
    x = 4,274.32

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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.