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Finding the Fourth Proportional to 4,682.04, 7,022.48 and 1,219.56

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Solution

The fourth proportional to 4,682.04, 7,022.48 and 1,219.56 is: 1,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.04 : 7,022.48 = 1,219.56 : x
  2. Step 2: Convert to fraction form
    4,682.04/7,022.48 = 1,219.56/x
  3. Step 3: Cross multiply
    4,682.04x = 7,022.48 × 1,219.56
  4. Step 4: Simplify right side
    4,682.04x = 8,564,335.71
  5. Step 5: Solve for x
    x = 8,564,335.71/4,682.04
  6. Step 6: Final answer
    x = 1,829.19

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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.