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Finding the Fourth Proportional to 5,365.60, 7,406.40 and 3,794.56

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Solution

The fourth proportional to 5,365.60, 7,406.40 and 3,794.56 is: 5,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.60 : 7,406.40 = 3,794.56 : x
  2. Step 2: Convert to fraction form
    5,365.60/7,406.40 = 3,794.56/x
  3. Step 3: Cross multiply
    5,365.60x = 7,406.40 × 3,794.56
  4. Step 4: Simplify right side
    5,365.60x = 28,104,029.18
  5. Step 5: Solve for x
    x = 28,104,029.18/5,365.60
  6. Step 6: Final answer
    x = 5,237.82

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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.