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Finding the Fourth Proportional to 4,711.64, 7,059.36 and 3,322.49

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Solution

The fourth proportional to 4,711.64, 7,059.36 and 3,322.49 is: 4,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.64 : 7,059.36 = 3,322.49 : x
  2. Step 2: Convert to fraction form
    4,711.64/7,059.36 = 3,322.49/x
  3. Step 3: Cross multiply
    4,711.64x = 7,059.36 × 3,322.49
  4. Step 4: Simplify right side
    4,711.64x = 23,454,653.01
  5. Step 5: Solve for x
    x = 23,454,653.01/4,711.64
  6. Step 6: Final answer
    x = 4,978.02

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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.