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Finding the Fourth Proportional to 4,869.94, 7,300.54 and 1,749.22

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Solution

The fourth proportional to 4,869.94, 7,300.54 and 1,749.22 is: 2,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.94 : 7,300.54 = 1,749.22 : x
  2. Step 2: Convert to fraction form
    4,869.94/7,300.54 = 1,749.22/x
  3. Step 3: Cross multiply
    4,869.94x = 7,300.54 × 1,749.22
  4. Step 4: Simplify right side
    4,869.94x = 12,770,250.58
  5. Step 5: Solve for x
    x = 12,770,250.58/4,869.94
  6. Step 6: Final answer
    x = 2,622.26

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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.