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Finding the Fourth Proportional to 3,574.98, 4,933.23 and 2,002.77

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Solution

The fourth proportional to 3,574.98, 4,933.23 and 2,002.77 is: 2,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.98 : 4,933.23 = 2,002.77 : x
  2. Step 2: Convert to fraction form
    3,574.98/4,933.23 = 2,002.77/x
  3. Step 3: Cross multiply
    3,574.98x = 4,933.23 × 2,002.77
  4. Step 4: Simplify right side
    3,574.98x = 9,880,125.05
  5. Step 5: Solve for x
    x = 9,880,125.05/3,574.98
  6. Step 6: Final answer
    x = 2,763.69

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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.