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Finding the Fourth Proportional to 5,812.80, 8,719.14 and 2,349.24

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Solution

The fourth proportional to 5,812.80, 8,719.14 and 2,349.24 is: 3,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.80 : 8,719.14 = 2,349.24 : x
  2. Step 2: Convert to fraction form
    5,812.80/8,719.14 = 2,349.24/x
  3. Step 3: Cross multiply
    5,812.80x = 8,719.14 × 2,349.24
  4. Step 4: Simplify right side
    5,812.80x = 20,483,352.45
  5. Step 5: Solve for x
    x = 20,483,352.45/5,812.80
  6. Step 6: Final answer
    x = 3,523.84

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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.