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Finding the Fourth Proportional to 4,782.54, 7,171.03 and 1,857.43

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Solution

The fourth proportional to 4,782.54, 7,171.03 and 1,857.43 is: 2,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.54 : 7,171.03 = 1,857.43 : x
  2. Step 2: Convert to fraction form
    4,782.54/7,171.03 = 1,857.43/x
  3. Step 3: Cross multiply
    4,782.54x = 7,171.03 × 1,857.43
  4. Step 4: Simplify right side
    4,782.54x = 13,319,697.54
  5. Step 5: Solve for x
    x = 13,319,697.54/4,782.54
  6. Step 6: Final answer
    x = 2,785.07

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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.