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Finding the Fourth Proportional to 4,761.80, 7,128.30 and 4,243.40

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Solution

The fourth proportional to 4,761.80, 7,128.30 and 4,243.40 is: 6,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.80 : 7,128.30 = 4,243.40 : x
  2. Step 2: Convert to fraction form
    4,761.80/7,128.30 = 4,243.40/x
  3. Step 3: Cross multiply
    4,761.80x = 7,128.30 × 4,243.40
  4. Step 4: Simplify right side
    4,761.80x = 30,248,228.22
  5. Step 5: Solve for x
    x = 30,248,228.22/4,761.80
  6. Step 6: Final answer
    x = 6,352.27

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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.