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Finding the Fourth Proportional to 5,768.25, 8,653.82 and 1,664.25

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Solution

The fourth proportional to 5,768.25, 8,653.82 and 1,664.25 is: 2,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.25 : 8,653.82 = 1,664.25 : x
  2. Step 2: Convert to fraction form
    5,768.25/8,653.82 = 1,664.25/x
  3. Step 3: Cross multiply
    5,768.25x = 8,653.82 × 1,664.25
  4. Step 4: Simplify right side
    5,768.25x = 14,402,111.61
  5. Step 5: Solve for x
    x = 14,402,111.61/5,768.25
  6. Step 6: Final answer
    x = 2,496.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.