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Finding the Fourth Proportional to 5,648.54, 7,790.16 and 4,467.56

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Solution

The fourth proportional to 5,648.54, 7,790.16 and 4,467.56 is: 6,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.54 : 7,790.16 = 4,467.56 : x
  2. Step 2: Convert to fraction form
    5,648.54/7,790.16 = 4,467.56/x
  3. Step 3: Cross multiply
    5,648.54x = 7,790.16 × 4,467.56
  4. Step 4: Simplify right side
    5,648.54x = 34,803,007.21
  5. Step 5: Solve for x
    x = 34,803,007.21/5,648.54
  6. Step 6: Final answer
    x = 6,161.42

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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.