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Finding the Fourth Proportional to 5,892.83, 8,838.16 and 2,382.65

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Solution

The fourth proportional to 5,892.83, 8,838.16 and 2,382.65 is: 3,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.83 : 8,838.16 = 2,382.65 : x
  2. Step 2: Convert to fraction form
    5,892.83/8,838.16 = 2,382.65/x
  3. Step 3: Cross multiply
    5,892.83x = 8,838.16 × 2,382.65
  4. Step 4: Simplify right side
    5,892.83x = 21,058,191.78
  5. Step 5: Solve for x
    x = 21,058,191.78/5,892.83
  6. Step 6: Final answer
    x = 3,573.53

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1.5x scale

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.