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Finding the Fourth Proportional to 5,980.67, 8,973.02 and 2,648.46

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Solution

The fourth proportional to 5,980.67, 8,973.02 and 2,648.46 is: 3,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.67 : 8,973.02 = 2,648.46 : x
  2. Step 2: Convert to fraction form
    5,980.67/8,973.02 = 2,648.46/x
  3. Step 3: Cross multiply
    5,980.67x = 8,973.02 × 2,648.46
  4. Step 4: Simplify right side
    5,980.67x = 23,764,705.11
  5. Step 5: Solve for x
    x = 23,764,705.11/5,980.67
  6. Step 6: Final answer
    x = 3,973.59

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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.