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Finding the Fourth Proportional to 5,927.75, 8,184.10 and 3,804.19

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Solution

The fourth proportional to 5,927.75, 8,184.10 and 3,804.19 is: 5,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.75 : 8,184.10 = 3,804.19 : x
  2. Step 2: Convert to fraction form
    5,927.75/8,184.10 = 3,804.19/x
  3. Step 3: Cross multiply
    5,927.75x = 8,184.10 × 3,804.19
  4. Step 4: Simplify right side
    5,927.75x = 31,133,906.21
  5. Step 5: Solve for x
    x = 31,133,906.21/5,927.75
  6. Step 6: Final answer
    x = 5,252.23

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1.5x scale

Why These Related Problems?

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