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Finding the Fourth Proportional to 4,803.98, 7,208.06 and 1,881.27

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Solution

The fourth proportional to 4,803.98, 7,208.06 and 1,881.27 is: 2,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.98 : 7,208.06 = 1,881.27 : x
  2. Step 2: Convert to fraction form
    4,803.98/7,208.06 = 1,881.27/x
  3. Step 3: Cross multiply
    4,803.98x = 7,208.06 × 1,881.27
  4. Step 4: Simplify right side
    4,803.98x = 13,560,297.63
  5. Step 5: Solve for x
    x = 13,560,297.63/4,803.98
  6. Step 6: Final answer
    x = 2,822.72

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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.