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Finding the Fourth Proportional to 5,235.24, 7,219.32 and 3,643.80

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Solution

The fourth proportional to 5,235.24, 7,219.32 and 3,643.80 is: 5,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.24 : 7,219.32 = 3,643.80 : x
  2. Step 2: Convert to fraction form
    5,235.24/7,219.32 = 3,643.80/x
  3. Step 3: Cross multiply
    5,235.24x = 7,219.32 × 3,643.80
  4. Step 4: Simplify right side
    5,235.24x = 26,305,758.22
  5. Step 5: Solve for x
    x = 26,305,758.22/5,235.24
  6. Step 6: Final answer
    x = 5,024.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.