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Finding the Fourth Proportional to 4,509.50, 6,224.22 and 2,742.28

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Solution

The fourth proportional to 4,509.50, 6,224.22 and 2,742.28 is: 3,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.50 : 6,224.22 = 2,742.28 : x
  2. Step 2: Convert to fraction form
    4,509.50/6,224.22 = 2,742.28/x
  3. Step 3: Cross multiply
    4,509.50x = 6,224.22 × 2,742.28
  4. Step 4: Simplify right side
    4,509.50x = 17,068,538.46
  5. Step 5: Solve for x
    x = 17,068,538.46/4,509.50
  6. Step 6: Final answer
    x = 3,785.02

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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.