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Finding the Fourth Proportional to 3,975.51, 5,486.45 and 2,297.22

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Solution

The fourth proportional to 3,975.51, 5,486.45 and 2,297.22 is: 3,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.51 : 5,486.45 = 2,297.22 : x
  2. Step 2: Convert to fraction form
    3,975.51/5,486.45 = 2,297.22/x
  3. Step 3: Cross multiply
    3,975.51x = 5,486.45 × 2,297.22
  4. Step 4: Simplify right side
    3,975.51x = 12,603,582.67
  5. Step 5: Solve for x
    x = 12,603,582.67/3,975.51
  6. Step 6: Final answer
    x = 3,170.31

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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.