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Finding the Fourth Proportional to 4,235.20, 6,352.80 and 2,048.20

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Solution

The fourth proportional to 4,235.20, 6,352.80 and 2,048.20 is: 3,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.20 : 6,352.80 = 2,048.20 : x
  2. Step 2: Convert to fraction form
    4,235.20/6,352.80 = 2,048.20/x
  3. Step 3: Cross multiply
    4,235.20x = 6,352.80 × 2,048.20
  4. Step 4: Simplify right side
    4,235.20x = 13,011,804.96
  5. Step 5: Solve for x
    x = 13,011,804.96/4,235.20
  6. Step 6: Final answer
    x = 3,072.30

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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.