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Finding the Fourth Proportional to 6,504.42, 8,977.92 and 3,852.66

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Solution

The fourth proportional to 6,504.42, 8,977.92 and 3,852.66 is: 5,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.42 : 8,977.92 = 3,852.66 : x
  2. Step 2: Convert to fraction form
    6,504.42/8,977.92 = 3,852.66/x
  3. Step 3: Cross multiply
    6,504.42x = 8,977.92 × 3,852.66
  4. Step 4: Simplify right side
    6,504.42x = 34,588,873.27
  5. Step 5: Solve for x
    x = 34,588,873.27/6,504.42
  6. Step 6: Final answer
    x = 5,317.75

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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.