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Finding the Fourth Proportional to 5,368.73, 7,408.08 and 2,978.33

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Solution

The fourth proportional to 5,368.73, 7,408.08 and 2,978.33 is: 4,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.73 : 7,408.08 = 2,978.33 : x
  2. Step 2: Convert to fraction form
    5,368.73/7,408.08 = 2,978.33/x
  3. Step 3: Cross multiply
    5,368.73x = 7,408.08 × 2,978.33
  4. Step 4: Simplify right side
    5,368.73x = 22,063,669.87
  5. Step 5: Solve for x
    x = 22,063,669.87/5,368.73
  6. Step 6: Final answer
    x = 4,109.67

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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.