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Finding the Fourth Proportional to 5,794.60, 7,981.97 and 5,369.35

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Solution

The fourth proportional to 5,794.60, 7,981.97 and 5,369.35 is: 7,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.60 : 7,981.97 = 5,369.35 : x
  2. Step 2: Convert to fraction form
    5,794.60/7,981.97 = 5,369.35/x
  3. Step 3: Cross multiply
    5,794.60x = 7,981.97 × 5,369.35
  4. Step 4: Simplify right side
    5,794.60x = 42,857,950.71
  5. Step 5: Solve for x
    x = 42,857,950.71/5,794.60
  6. Step 6: Final answer
    x = 7,396.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.