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Finding the Fourth Proportional to 5,127.36, 7,704.16 and 4,984.64

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Solution

The fourth proportional to 5,127.36, 7,704.16 and 4,984.64 is: 7,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.36 : 7,704.16 = 4,984.64 : x
  2. Step 2: Convert to fraction form
    5,127.36/7,704.16 = 4,984.64/x
  3. Step 3: Cross multiply
    5,127.36x = 7,704.16 × 4,984.64
  4. Step 4: Simplify right side
    5,127.36x = 38,402,464.10
  5. Step 5: Solve for x
    x = 38,402,464.10/5,127.36
  6. Step 6: Final answer
    x = 7,489.71

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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.