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Finding the Fourth Proportional to 3,765.32, 5,194.50 and 2,646.98

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Solution

The fourth proportional to 3,765.32, 5,194.50 and 2,646.98 is: 3,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.32 : 5,194.50 = 2,646.98 : x
  2. Step 2: Convert to fraction form
    3,765.32/5,194.50 = 2,646.98/x
  3. Step 3: Cross multiply
    3,765.32x = 5,194.50 × 2,646.98
  4. Step 4: Simplify right side
    3,765.32x = 13,749,721.19
  5. Step 5: Solve for x
    x = 13,749,721.19/3,765.32
  6. Step 6: Final answer
    x = 3,651.68

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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.