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Finding the Fourth Proportional to 3,764.84, 5,647.70 and 1,300.21

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Solution

The fourth proportional to 3,764.84, 5,647.70 and 1,300.21 is: 1,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.84 : 5,647.70 = 1,300.21 : x
  2. Step 2: Convert to fraction form
    3,764.84/5,647.70 = 1,300.21/x
  3. Step 3: Cross multiply
    3,764.84x = 5,647.70 × 1,300.21
  4. Step 4: Simplify right side
    3,764.84x = 7,343,185.15
  5. Step 5: Solve for x
    x = 7,343,185.15/3,764.84
  6. Step 6: Final answer
    x = 1,950.47

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Why These Related Problems?

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