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Finding the Fourth Proportional to 5,057.68, 6,977.56 and 3,288.64

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Solution

The fourth proportional to 5,057.68, 6,977.56 and 3,288.64 is: 4,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.68 : 6,977.56 = 3,288.64 : x
  2. Step 2: Convert to fraction form
    5,057.68/6,977.56 = 3,288.64/x
  3. Step 3: Cross multiply
    5,057.68x = 6,977.56 × 3,288.64
  4. Step 4: Simplify right side
    5,057.68x = 22,946,682.92
  5. Step 5: Solve for x
    x = 22,946,682.92/5,057.68
  6. Step 6: Final answer
    x = 4,537.00

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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.