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Finding the Fourth Proportional to 5,197.34, 7,794.27 and 1,686.42

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Solution

The fourth proportional to 5,197.34, 7,794.27 and 1,686.42 is: 2,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.34 : 7,794.27 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    5,197.34/7,794.27 = 1,686.42/x
  3. Step 3: Cross multiply
    5,197.34x = 7,794.27 × 1,686.42
  4. Step 4: Simplify right side
    5,197.34x = 13,144,412.81
  5. Step 5: Solve for x
    x = 13,144,412.81/5,197.34
  6. Step 6: Final answer
    x = 2,529.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.