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Finding the Fourth Proportional to 4,057.27, 5,597.27 and 2,378.75

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Solution

The fourth proportional to 4,057.27, 5,597.27 and 2,378.75 is: 3,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.27 : 5,597.27 = 2,378.75 : x
  2. Step 2: Convert to fraction form
    4,057.27/5,597.27 = 2,378.75/x
  3. Step 3: Cross multiply
    4,057.27x = 5,597.27 × 2,378.75
  4. Step 4: Simplify right side
    4,057.27x = 13,314,494.12
  5. Step 5: Solve for x
    x = 13,314,494.12/4,057.27
  6. Step 6: Final answer
    x = 3,281.64

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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.