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Finding the Fourth Proportional to 3,605.28, 4,975.16 and 2,011.82

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Solution

The fourth proportional to 3,605.28, 4,975.16 and 2,011.82 is: 2,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.28 : 4,975.16 = 2,011.82 : x
  2. Step 2: Convert to fraction form
    3,605.28/4,975.16 = 2,011.82/x
  3. Step 3: Cross multiply
    3,605.28x = 4,975.16 × 2,011.82
  4. Step 4: Simplify right side
    3,605.28x = 10,009,119.44
  5. Step 5: Solve for x
    x = 10,009,119.44/3,605.28
  6. Step 6: Final answer
    x = 2,776.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.