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Finding the Fourth Proportional to 5,368.17, 7,408.49 and 2,978.37

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Solution

The fourth proportional to 5,368.17, 7,408.49 and 2,978.37 is: 4,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.17 : 7,408.49 = 2,978.37 : x
  2. Step 2: Convert to fraction form
    5,368.17/7,408.49 = 2,978.37/x
  3. Step 3: Cross multiply
    5,368.17x = 7,408.49 × 2,978.37
  4. Step 4: Simplify right side
    5,368.17x = 22,065,250.33
  5. Step 5: Solve for x
    x = 22,065,250.33/5,368.17
  6. Step 6: Final answer
    x = 4,110.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.