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Finding the Fourth Proportional to 3,442.44, 4,756.14 and 2,399.16

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Solution

The fourth proportional to 3,442.44, 4,756.14 and 2,399.16 is: 3,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.44 : 4,756.14 = 2,399.16 : x
  2. Step 2: Convert to fraction form
    3,442.44/4,756.14 = 2,399.16/x
  3. Step 3: Cross multiply
    3,442.44x = 4,756.14 × 2,399.16
  4. Step 4: Simplify right side
    3,442.44x = 11,410,740.84
  5. Step 5: Solve for x
    x = 11,410,740.84/3,442.44
  6. Step 6: Final answer
    x = 3,314.72

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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.