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Finding the Fourth Proportional to 5,365.98, 7,406.37 and 3,271.86

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Solution

The fourth proportional to 5,365.98, 7,406.37 and 3,271.86 is: 4,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.98 : 7,406.37 = 3,271.86 : x
  2. Step 2: Convert to fraction form
    5,365.98/7,406.37 = 3,271.86/x
  3. Step 3: Cross multiply
    5,365.98x = 7,406.37 × 3,271.86
  4. Step 4: Simplify right side
    5,365.98x = 24,232,605.75
  5. Step 5: Solve for x
    x = 24,232,605.75/5,365.98
  6. Step 6: Final answer
    x = 4,515.97

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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.