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Finding the Fourth Proportional to 5,316.24, 7,978.54 and 3,684.26

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Solution

The fourth proportional to 5,316.24, 7,978.54 and 3,684.26 is: 5,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.24 : 7,978.54 = 3,684.26 : x
  2. Step 2: Convert to fraction form
    5,316.24/7,978.54 = 3,684.26/x
  3. Step 3: Cross multiply
    5,316.24x = 7,978.54 × 3,684.26
  4. Step 4: Simplify right side
    5,316.24x = 29,395,015.78
  5. Step 5: Solve for x
    x = 29,395,015.78/5,316.24
  6. Step 6: Final answer
    x = 5,529.29

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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.