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Finding the Fourth Proportional to 5,633.18, 7,774 and 3,741.50

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Solution

The fourth proportional to 5,633.18, 7,774 and 3,741.50 is: 5,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.18 : 7,774 = 3,741.50 : x
  2. Step 2: Convert to fraction form
    5,633.18/7,774 = 3,741.50/x
  3. Step 3: Cross multiply
    5,633.18x = 7,774 × 3,741.50
  4. Step 4: Simplify right side
    5,633.18x = 29,086,421
  5. Step 5: Solve for x
    x = 29,086,421/5,633.18
  6. Step 6: Final answer
    x = 5,163.41

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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.