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Finding the Fourth Proportional to 4,764.66, 6,573.87 and 3,977.34

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Solution

The fourth proportional to 4,764.66, 6,573.87 and 3,977.34 is: 5,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.66 : 6,573.87 = 3,977.34 : x
  2. Step 2: Convert to fraction form
    4,764.66/6,573.87 = 3,977.34/x
  3. Step 3: Cross multiply
    4,764.66x = 6,573.87 × 3,977.34
  4. Step 4: Simplify right side
    4,764.66x = 26,146,516.11
  5. Step 5: Solve for x
    x = 26,146,516.11/4,764.66
  6. Step 6: Final answer
    x = 5,487.59

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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.