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Finding the Fourth Proportional to 3,756.70, 5,647.19 and 3,486.16

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Solution

The fourth proportional to 3,756.70, 5,647.19 and 3,486.16 is: 5,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.70 : 5,647.19 = 3,486.16 : x
  2. Step 2: Convert to fraction form
    3,756.70/5,647.19 = 3,486.16/x
  3. Step 3: Cross multiply
    3,756.70x = 5,647.19 × 3,486.16
  4. Step 4: Simplify right side
    3,756.70x = 19,687,007.89
  5. Step 5: Solve for x
    x = 19,687,007.89/3,756.70
  6. Step 6: Final answer
    x = 5,240.51

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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.