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Finding the Fourth Proportional to 4,803.97, 7,209.20 and 1,881.91

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Solution

The fourth proportional to 4,803.97, 7,209.20 and 1,881.91 is: 2,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.97 : 7,209.20 = 1,881.91 : x
  2. Step 2: Convert to fraction form
    4,803.97/7,209.20 = 1,881.91/x
  3. Step 3: Cross multiply
    4,803.97x = 7,209.20 × 1,881.91
  4. Step 4: Simplify right side
    4,803.97x = 13,567,065.57
  5. Step 5: Solve for x
    x = 13,567,065.57/4,803.97
  6. Step 6: Final answer
    x = 2,824.14

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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.