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Finding the Fourth Proportional to 5,109.40, 7,647.90 and 3,651.40

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Solution

The fourth proportional to 5,109.40, 7,647.90 and 3,651.40 is: 5,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.40 : 7,647.90 = 3,651.40 : x
  2. Step 2: Convert to fraction form
    5,109.40/7,647.90 = 3,651.40/x
  3. Step 3: Cross multiply
    5,109.40x = 7,647.90 × 3,651.40
  4. Step 4: Simplify right side
    5,109.40x = 27,925,542.06
  5. Step 5: Solve for x
    x = 27,925,542.06/5,109.40
  6. Step 6: Final answer
    x = 5,465.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.