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Finding the Fourth Proportional to 3,054.90, 4,213.16 and 2,058.87

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Solution

The fourth proportional to 3,054.90, 4,213.16 and 2,058.87 is: 2,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.90 : 4,213.16 = 2,058.87 : x
  2. Step 2: Convert to fraction form
    3,054.90/4,213.16 = 2,058.87/x
  3. Step 3: Cross multiply
    3,054.90x = 4,213.16 × 2,058.87
  4. Step 4: Simplify right side
    3,054.90x = 8,674,317.37
  5. Step 5: Solve for x
    x = 8,674,317.37/3,054.90
  6. Step 6: Final answer
    x = 2,839.48

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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.