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Finding the Fourth Proportional to 3,872.99, 5,804.63 and 2,314.15

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Solution

The fourth proportional to 3,872.99, 5,804.63 and 2,314.15 is: 3,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.99 : 5,804.63 = 2,314.15 : x
  2. Step 2: Convert to fraction form
    3,872.99/5,804.63 = 2,314.15/x
  3. Step 3: Cross multiply
    3,872.99x = 5,804.63 × 2,314.15
  4. Step 4: Simplify right side
    3,872.99x = 13,432,743.92
  5. Step 5: Solve for x
    x = 13,432,743.92/3,872.99
  6. Step 6: Final answer
    x = 3,468.31

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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.