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Finding the Fourth Proportional to 5,782.83, 8,672.10 and 2,084.16

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Solution

The fourth proportional to 5,782.83, 8,672.10 and 2,084.16 is: 3,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.83 : 8,672.10 = 2,084.16 : x
  2. Step 2: Convert to fraction form
    5,782.83/8,672.10 = 2,084.16/x
  3. Step 3: Cross multiply
    5,782.83x = 8,672.10 × 2,084.16
  4. Step 4: Simplify right side
    5,782.83x = 18,074,043.94
  5. Step 5: Solve for x
    x = 18,074,043.94/5,782.83
  6. Step 6: Final answer
    x = 3,125.47

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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.