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Finding the Fourth Proportional to 5,351.93, 8,024.97 and 1,653.47

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Solution

The fourth proportional to 5,351.93, 8,024.97 and 1,653.47 is: 2,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.93 : 8,024.97 = 1,653.47 : x
  2. Step 2: Convert to fraction form
    5,351.93/8,024.97 = 1,653.47/x
  3. Step 3: Cross multiply
    5,351.93x = 8,024.97 × 1,653.47
  4. Step 4: Simplify right side
    5,351.93x = 13,269,007.02
  5. Step 5: Solve for x
    x = 13,269,007.02/5,351.93
  6. Step 6: Final answer
    x = 2,479.30

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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.