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Finding the Fourth Proportional to 4,782.43, 7,160.28 and 2,583.28

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Solution

The fourth proportional to 4,782.43, 7,160.28 and 2,583.28 is: 3,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.43 : 7,160.28 = 2,583.28 : x
  2. Step 2: Convert to fraction form
    4,782.43/7,160.28 = 2,583.28/x
  3. Step 3: Cross multiply
    4,782.43x = 7,160.28 × 2,583.28
  4. Step 4: Simplify right side
    4,782.43x = 18,497,008.12
  5. Step 5: Solve for x
    x = 18,497,008.12/4,782.43
  6. Step 6: Final answer
    x = 3,867.70

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Why These Related Problems?

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