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Finding the Fourth Proportional to 3,605.77, 4,976.09 and 2,012.50

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Solution

The fourth proportional to 3,605.77, 4,976.09 and 2,012.50 is: 2,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.77 : 4,976.09 = 2,012.50 : x
  2. Step 2: Convert to fraction form
    3,605.77/4,976.09 = 2,012.50/x
  3. Step 3: Cross multiply
    3,605.77x = 4,976.09 × 2,012.50
  4. Step 4: Simplify right side
    3,605.77x = 10,014,381.13
  5. Step 5: Solve for x
    x = 10,014,381.13/3,605.77
  6. Step 6: Final answer
    x = 2,777.32

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