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Finding the Fourth Proportional to 5,396.86, 7,447.40 and 3,005.74

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Solution

The fourth proportional to 5,396.86, 7,447.40 and 3,005.74 is: 4,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.86 : 7,447.40 = 3,005.74 : x
  2. Step 2: Convert to fraction form
    5,396.86/7,447.40 = 3,005.74/x
  3. Step 3: Cross multiply
    5,396.86x = 7,447.40 × 3,005.74
  4. Step 4: Simplify right side
    5,396.86x = 22,384,955.59
  5. Step 5: Solve for x
    x = 22,384,955.59/5,396.86
  6. Step 6: Final answer
    x = 4,147.77

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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.