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Finding the Fourth Proportional to 5,591.64, 8,388.54 and 1,894.47

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Solution

The fourth proportional to 5,591.64, 8,388.54 and 1,894.47 is: 2,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.64 : 8,388.54 = 1,894.47 : x
  2. Step 2: Convert to fraction form
    5,591.64/8,388.54 = 1,894.47/x
  3. Step 3: Cross multiply
    5,591.64x = 8,388.54 × 1,894.47
  4. Step 4: Simplify right side
    5,591.64x = 15,891,837.37
  5. Step 5: Solve for x
    x = 15,891,837.37/5,591.64
  6. Step 6: Final answer
    x = 2,842.07

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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.