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Finding the Fourth Proportional to 5,764.04, 7,955.50 and 3,749.94

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Solution

The fourth proportional to 5,764.04, 7,955.50 and 3,749.94 is: 5,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.04 : 7,955.50 = 3,749.94 : x
  2. Step 2: Convert to fraction form
    5,764.04/7,955.50 = 3,749.94/x
  3. Step 3: Cross multiply
    5,764.04x = 7,955.50 × 3,749.94
  4. Step 4: Simplify right side
    5,764.04x = 29,832,647.67
  5. Step 5: Solve for x
    x = 29,832,647.67/5,764.04
  6. Step 6: Final answer
    x = 5,175.65

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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.