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Finding the Fourth Proportional to 5,699.53, 8,550.19 and 2,412.64

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Solution

The fourth proportional to 5,699.53, 8,550.19 and 2,412.64 is: 3,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.53 : 8,550.19 = 2,412.64 : x
  2. Step 2: Convert to fraction form
    5,699.53/8,550.19 = 2,412.64/x
  3. Step 3: Cross multiply
    5,699.53x = 8,550.19 × 2,412.64
  4. Step 4: Simplify right side
    5,699.53x = 20,628,530.40
  5. Step 5: Solve for x
    x = 20,628,530.40/5,699.53
  6. Step 6: Final answer
    x = 3,619.34

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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.