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Finding the Fourth Proportional to 5,163.08, 7,742.86 and 1,699.48

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Solution

The fourth proportional to 5,163.08, 7,742.86 and 1,699.48 is: 2,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.08 : 7,742.86 = 1,699.48 : x
  2. Step 2: Convert to fraction form
    5,163.08/7,742.86 = 1,699.48/x
  3. Step 3: Cross multiply
    5,163.08x = 7,742.86 × 1,699.48
  4. Step 4: Simplify right side
    5,163.08x = 13,158,835.71
  5. Step 5: Solve for x
    x = 13,158,835.71/5,163.08
  6. Step 6: Final answer
    x = 2,548.64

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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.