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Finding the Fourth Proportional to 4,946.94, 7,415.55 and 2,751.14

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Solution

The fourth proportional to 4,946.94, 7,415.55 and 2,751.14 is: 4,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.94 : 7,415.55 = 2,751.14 : x
  2. Step 2: Convert to fraction form
    4,946.94/7,415.55 = 2,751.14/x
  3. Step 3: Cross multiply
    4,946.94x = 7,415.55 × 2,751.14
  4. Step 4: Simplify right side
    4,946.94x = 20,401,234.77
  5. Step 5: Solve for x
    x = 20,401,234.77/4,946.94
  6. Step 6: Final answer
    x = 4,124.01

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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.