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Finding the Fourth Proportional to 3,048.24, 4,577.76 and 2,804.24

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Solution

The fourth proportional to 3,048.24, 4,577.76 and 2,804.24 is: 4,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.24 : 4,577.76 = 2,804.24 : x
  2. Step 2: Convert to fraction form
    3,048.24/4,577.76 = 2,804.24/x
  3. Step 3: Cross multiply
    3,048.24x = 4,577.76 × 2,804.24
  4. Step 4: Simplify right side
    3,048.24x = 12,837,137.70
  5. Step 5: Solve for x
    x = 12,837,137.70/3,048.24
  6. Step 6: Final answer
    x = 4,211.33

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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.