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Finding the Fourth Proportional to 4,673.89, 7,006.51 and 1,749.97

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Solution

The fourth proportional to 4,673.89, 7,006.51 and 1,749.97 is: 2,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.89 : 7,006.51 = 1,749.97 : x
  2. Step 2: Convert to fraction form
    4,673.89/7,006.51 = 1,749.97/x
  3. Step 3: Cross multiply
    4,673.89x = 7,006.51 × 1,749.97
  4. Step 4: Simplify right side
    4,673.89x = 12,261,182.30
  5. Step 5: Solve for x
    x = 12,261,182.30/4,673.89
  6. Step 6: Final answer
    x = 2,623.34

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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.