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Finding the Fourth Proportional to 5,668.07, 8,503.63 and 1,719.16

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Solution

The fourth proportional to 5,668.07, 8,503.63 and 1,719.16 is: 2,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.07 : 8,503.63 = 1,719.16 : x
  2. Step 2: Convert to fraction form
    5,668.07/8,503.63 = 1,719.16/x
  3. Step 3: Cross multiply
    5,668.07x = 8,503.63 × 1,719.16
  4. Step 4: Simplify right side
    5,668.07x = 14,619,074.99
  5. Step 5: Solve for x
    x = 14,619,074.99/5,668.07
  6. Step 6: Final answer
    x = 2,579.20

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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.