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Finding the Fourth Proportional to 5,980.49, 8,971.34 and 2,285.82

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Solution

The fourth proportional to 5,980.49, 8,971.34 and 2,285.82 is: 3,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.49 : 8,971.34 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    5,980.49/8,971.34 = 2,285.82/x
  3. Step 3: Cross multiply
    5,980.49x = 8,971.34 × 2,285.82
  4. Step 4: Simplify right side
    5,980.49x = 20,506,899.18
  5. Step 5: Solve for x
    x = 20,506,899.18/5,980.49
  6. Step 6: Final answer
    x = 3,428.97

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1.5x scale

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.