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Finding the Fourth Proportional to 5,984.48, 9,021.51 and 5,583.06

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Solution

The fourth proportional to 5,984.48, 9,021.51 and 5,583.06 is: 8,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.48 : 9,021.51 = 5,583.06 : x
  2. Step 2: Convert to fraction form
    5,984.48/9,021.51 = 5,583.06/x
  3. Step 3: Cross multiply
    5,984.48x = 9,021.51 × 5,583.06
  4. Step 4: Simplify right side
    5,984.48x = 50,367,631.62
  5. Step 5: Solve for x
    x = 50,367,631.62/5,984.48
  6. Step 6: Final answer
    x = 8,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.