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Finding the Fourth Proportional to 5,197.07, 7,796.13 and 1,686.93

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Solution

The fourth proportional to 5,197.07, 7,796.13 and 1,686.93 is: 2,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.07 : 7,796.13 = 1,686.93 : x
  2. Step 2: Convert to fraction form
    5,197.07/7,796.13 = 1,686.93/x
  3. Step 3: Cross multiply
    5,197.07x = 7,796.13 × 1,686.93
  4. Step 4: Simplify right side
    5,197.07x = 13,151,525.58
  5. Step 5: Solve for x
    x = 13,151,525.58/5,197.07
  6. Step 6: Final answer
    x = 2,530.57

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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.