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Finding the Fourth Proportional to 4,653.28, 6,984.54 and 3,786.01

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Solution

The fourth proportional to 4,653.28, 6,984.54 and 3,786.01 is: 5,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.28 : 6,984.54 = 3,786.01 : x
  2. Step 2: Convert to fraction form
    4,653.28/6,984.54 = 3,786.01/x
  3. Step 3: Cross multiply
    4,653.28x = 6,984.54 × 3,786.01
  4. Step 4: Simplify right side
    4,653.28x = 26,443,520.82
  5. Step 5: Solve for x
    x = 26,443,520.82/4,653.28
  6. Step 6: Final answer
    x = 5,682.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.