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Finding the Fourth Proportional to 5,139.64, 7,704.60 and 4,668.22

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Solution

The fourth proportional to 5,139.64, 7,704.60 and 4,668.22 is: 6,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.64 : 7,704.60 = 4,668.22 : x
  2. Step 2: Convert to fraction form
    5,139.64/7,704.60 = 4,668.22/x
  3. Step 3: Cross multiply
    5,139.64x = 7,704.60 × 4,668.22
  4. Step 4: Simplify right side
    5,139.64x = 35,966,767.81
  5. Step 5: Solve for x
    x = 35,966,767.81/5,139.64
  6. Step 6: Final answer
    x = 6,997.92

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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.