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Finding the Fourth Proportional to 5,846.90, 8,770.80 and 1,951.31

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Solution

The fourth proportional to 5,846.90, 8,770.80 and 1,951.31 is: 2,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.90 : 8,770.80 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    5,846.90/8,770.80 = 1,951.31/x
  3. Step 3: Cross multiply
    5,846.90x = 8,770.80 × 1,951.31
  4. Step 4: Simplify right side
    5,846.90x = 17,114,549.75
  5. Step 5: Solve for x
    x = 17,114,549.75/5,846.90
  6. Step 6: Final answer
    x = 2,927.12

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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.