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Finding the Fourth Proportional to 5,980.11, 8,971.19 and 2,030.95

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Solution

The fourth proportional to 5,980.11, 8,971.19 and 2,030.95 is: 3,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.11 : 8,971.19 = 2,030.95 : x
  2. Step 2: Convert to fraction form
    5,980.11/8,971.19 = 2,030.95/x
  3. Step 3: Cross multiply
    5,980.11x = 8,971.19 × 2,030.95
  4. Step 4: Simplify right side
    5,980.11x = 18,220,038.33
  5. Step 5: Solve for x
    x = 18,220,038.33/5,980.11
  6. Step 6: Final answer
    x = 3,046.77

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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.