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Finding the Fourth Proportional to 5,371.95, 7,418.91 and 3,697.68

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Solution

The fourth proportional to 5,371.95, 7,418.91 and 3,697.68 is: 5,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.95 : 7,418.91 = 3,697.68 : x
  2. Step 2: Convert to fraction form
    5,371.95/7,418.91 = 3,697.68/x
  3. Step 3: Cross multiply
    5,371.95x = 7,418.91 × 3,697.68
  4. Step 4: Simplify right side
    5,371.95x = 27,432,755.13
  5. Step 5: Solve for x
    x = 27,432,755.13/5,371.95
  6. Step 6: Final answer
    x = 5,106.67

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