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Finding the Fourth Proportional to 3,438.86, 5,157.27 and 1,857.33

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Solution

The fourth proportional to 3,438.86, 5,157.27 and 1,857.33 is: 2,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.86 : 5,157.27 = 1,857.33 : x
  2. Step 2: Convert to fraction form
    3,438.86/5,157.27 = 1,857.33/x
  3. Step 3: Cross multiply
    3,438.86x = 5,157.27 × 1,857.33
  4. Step 4: Simplify right side
    3,438.86x = 9,578,752.29
  5. Step 5: Solve for x
    x = 9,578,752.29/3,438.86
  6. Step 6: Final answer
    x = 2,785.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.