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Finding the Fourth Proportional to 4,963.99, 7,446.80 and 1,844.01

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Solution

The fourth proportional to 4,963.99, 7,446.80 and 1,844.01 is: 2,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.99 : 7,446.80 = 1,844.01 : x
  2. Step 2: Convert to fraction form
    4,963.99/7,446.80 = 1,844.01/x
  3. Step 3: Cross multiply
    4,963.99x = 7,446.80 × 1,844.01
  4. Step 4: Simplify right side
    4,963.99x = 13,731,973.67
  5. Step 5: Solve for x
    x = 13,731,973.67/4,963.99
  6. Step 6: Final answer
    x = 2,766.32

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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.