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Finding the Fourth Proportional to 5,731.08, 8,597.96 and 1,782.13

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Solution

The fourth proportional to 5,731.08, 8,597.96 and 1,782.13 is: 2,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.08 : 8,597.96 = 1,782.13 : x
  2. Step 2: Convert to fraction form
    5,731.08/8,597.96 = 1,782.13/x
  3. Step 3: Cross multiply
    5,731.08x = 8,597.96 × 1,782.13
  4. Step 4: Simplify right side
    5,731.08x = 15,322,682.45
  5. Step 5: Solve for x
    x = 15,322,682.45/5,731.08
  6. Step 6: Final answer
    x = 2,673.61

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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.