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Finding the Fourth Proportional to 3,776.23, 5,662.65 and 2,020.93

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Solution

The fourth proportional to 3,776.23, 5,662.65 and 2,020.93 is: 3,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.23 : 5,662.65 = 2,020.93 : x
  2. Step 2: Convert to fraction form
    3,776.23/5,662.65 = 2,020.93/x
  3. Step 3: Cross multiply
    3,776.23x = 5,662.65 × 2,020.93
  4. Step 4: Simplify right side
    3,776.23x = 11,443,819.26
  5. Step 5: Solve for x
    x = 11,443,819.26/3,776.23
  6. Step 6: Final answer
    x = 3,030.49

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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.