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Finding the Fourth Proportional to 4,749.80, 7,124.99 and 1,828.10

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Solution

The fourth proportional to 4,749.80, 7,124.99 and 1,828.10 is: 2,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.80 : 7,124.99 = 1,828.10 : x
  2. Step 2: Convert to fraction form
    4,749.80/7,124.99 = 1,828.10/x
  3. Step 3: Cross multiply
    4,749.80x = 7,124.99 × 1,828.10
  4. Step 4: Simplify right side
    4,749.80x = 13,025,202.89
  5. Step 5: Solve for x
    x = 13,025,202.89/4,749.80
  6. Step 6: Final answer
    x = 2,742.27

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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.