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Finding the Fourth Proportional to 4,058.16, 5,597.34 and 3,922.68

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Solution

The fourth proportional to 4,058.16, 5,597.34 and 3,922.68 is: 5,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.16 : 5,597.34 = 3,922.68 : x
  2. Step 2: Convert to fraction form
    4,058.16/5,597.34 = 3,922.68/x
  3. Step 3: Cross multiply
    4,058.16x = 5,597.34 × 3,922.68
  4. Step 4: Simplify right side
    4,058.16x = 21,956,573.67
  5. Step 5: Solve for x
    x = 21,956,573.67/4,058.16
  6. Step 6: Final answer
    x = 5,410.48

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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.