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Finding the Fourth Proportional to 3,776.07, 5,655.54 and 2,017.98

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Solution

The fourth proportional to 3,776.07, 5,655.54 and 2,017.98 is: 3,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.07 : 5,655.54 = 2,017.98 : x
  2. Step 2: Convert to fraction form
    3,776.07/5,655.54 = 2,017.98/x
  3. Step 3: Cross multiply
    3,776.07x = 5,655.54 × 2,017.98
  4. Step 4: Simplify right side
    3,776.07x = 11,412,766.61
  5. Step 5: Solve for x
    x = 11,412,766.61/3,776.07
  6. Step 6: Final answer
    x = 3,022.39

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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.