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Finding the Fourth Proportional to 4,989.46, 7,484.75 and 4,072.82

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Solution

The fourth proportional to 4,989.46, 7,484.75 and 4,072.82 is: 6,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.46 : 7,484.75 = 4,072.82 : x
  2. Step 2: Convert to fraction form
    4,989.46/7,484.75 = 4,072.82/x
  3. Step 3: Cross multiply
    4,989.46x = 7,484.75 × 4,072.82
  4. Step 4: Simplify right side
    4,989.46x = 30,484,039.50
  5. Step 5: Solve for x
    x = 30,484,039.50/4,989.46
  6. Step 6: Final answer
    x = 6,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.