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Finding the Fourth Proportional to 4,871.45, 7,309.90 and 1,949.98

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Solution

The fourth proportional to 4,871.45, 7,309.90 and 1,949.98 is: 2,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.45 : 7,309.90 = 1,949.98 : x
  2. Step 2: Convert to fraction form
    4,871.45/7,309.90 = 1,949.98/x
  3. Step 3: Cross multiply
    4,871.45x = 7,309.90 × 1,949.98
  4. Step 4: Simplify right side
    4,871.45x = 14,254,170.38
  5. Step 5: Solve for x
    x = 14,254,170.38/4,871.45
  6. Step 6: Final answer
    x = 2,926.06

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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.