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Finding the Fourth Proportional to 4,054.45, 5,590.34 and 2,859.63

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Solution

The fourth proportional to 4,054.45, 5,590.34 and 2,859.63 is: 3,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.45 : 5,590.34 = 2,859.63 : x
  2. Step 2: Convert to fraction form
    4,054.45/5,590.34 = 2,859.63/x
  3. Step 3: Cross multiply
    4,054.45x = 5,590.34 × 2,859.63
  4. Step 4: Simplify right side
    4,054.45x = 15,986,297.07
  5. Step 5: Solve for x
    x = 15,986,297.07/4,054.45
  6. Step 6: Final answer
    x = 3,942.91

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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.