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Finding the Fourth Proportional to 5,668.94, 8,500.07 and 1,719.02

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Solution

The fourth proportional to 5,668.94, 8,500.07 and 1,719.02 is: 2,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.94 : 8,500.07 = 1,719.02 : x
  2. Step 2: Convert to fraction form
    5,668.94/8,500.07 = 1,719.02/x
  3. Step 3: Cross multiply
    5,668.94x = 8,500.07 × 1,719.02
  4. Step 4: Simplify right side
    5,668.94x = 14,611,739.24
  5. Step 5: Solve for x
    x = 14,611,739.24/5,668.94
  6. Step 6: Final answer
    x = 2,577.51

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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.