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Finding the Fourth Proportional to 5,064.72, 7,594.74 and 1,984.56

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Solution

The fourth proportional to 5,064.72, 7,594.74 and 1,984.56 is: 2,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.72 : 7,594.74 = 1,984.56 : x
  2. Step 2: Convert to fraction form
    5,064.72/7,594.74 = 1,984.56/x
  3. Step 3: Cross multiply
    5,064.72x = 7,594.74 × 1,984.56
  4. Step 4: Simplify right side
    5,064.72x = 15,072,217.21
  5. Step 5: Solve for x
    x = 15,072,217.21/5,064.72
  6. Step 6: Final answer
    x = 2,975.92

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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.