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Finding the Fourth Proportional to 4,660.80, 6,991.19 and 3,837.34

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Solution

The fourth proportional to 4,660.80, 6,991.19 and 3,837.34 is: 5,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.80 : 6,991.19 = 3,837.34 : x
  2. Step 2: Convert to fraction form
    4,660.80/6,991.19 = 3,837.34/x
  3. Step 3: Cross multiply
    4,660.80x = 6,991.19 × 3,837.34
  4. Step 4: Simplify right side
    4,660.80x = 26,827,538.08
  5. Step 5: Solve for x
    x = 26,827,538.08/4,660.80
  6. Step 6: Final answer
    x = 5,756.00

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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.