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Finding the Fourth Proportional to 5,322.24, 7,984.08 and 1,858.56

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Solution

The fourth proportional to 5,322.24, 7,984.08 and 1,858.56 is: 2,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.24 : 7,984.08 = 1,858.56 : x
  2. Step 2: Convert to fraction form
    5,322.24/7,984.08 = 1,858.56/x
  3. Step 3: Cross multiply
    5,322.24x = 7,984.08 × 1,858.56
  4. Step 4: Simplify right side
    5,322.24x = 14,838,891.72
  5. Step 5: Solve for x
    x = 14,838,891.72/5,322.24
  6. Step 6: Final answer
    x = 2,788.09

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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.