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Finding the Fourth Proportional to 4,158.56, 5,738.64 and 2,390.42

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Solution

The fourth proportional to 4,158.56, 5,738.64 and 2,390.42 is: 3,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.56 : 5,738.64 = 2,390.42 : x
  2. Step 2: Convert to fraction form
    4,158.56/5,738.64 = 2,390.42/x
  3. Step 3: Cross multiply
    4,158.56x = 5,738.64 × 2,390.42
  4. Step 4: Simplify right side
    4,158.56x = 13,717,759.83
  5. Step 5: Solve for x
    x = 13,717,759.83/4,158.56
  6. Step 6: Final answer
    x = 3,298.68

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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.