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Finding the Fourth Proportional to 3,980.67, 5,973 and 1,788.93

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Solution

The fourth proportional to 3,980.67, 5,973 and 1,788.93 is: 2,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.67 : 5,973 = 1,788.93 : x
  2. Step 2: Convert to fraction form
    3,980.67/5,973 = 1,788.93/x
  3. Step 3: Cross multiply
    3,980.67x = 5,973 × 1,788.93
  4. Step 4: Simplify right side
    3,980.67x = 10,685,278.89
  5. Step 5: Solve for x
    x = 10,685,278.89/3,980.67
  6. Step 6: Final answer
    x = 2,684.29

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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.