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Finding the Fourth Proportional to 4,984.74, 7,477.10 and 2,059.82

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Solution

The fourth proportional to 4,984.74, 7,477.10 and 2,059.82 is: 3,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.74 : 7,477.10 = 2,059.82 : x
  2. Step 2: Convert to fraction form
    4,984.74/7,477.10 = 2,059.82/x
  3. Step 3: Cross multiply
    4,984.74x = 7,477.10 × 2,059.82
  4. Step 4: Simplify right side
    4,984.74x = 15,401,480.12
  5. Step 5: Solve for x
    x = 15,401,480.12/4,984.74
  6. Step 6: Final answer
    x = 3,089.73

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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.