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Finding the Fourth Proportional to 5,830.98, 8,003.70 and 5,187.41

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Solution

The fourth proportional to 5,830.98, 8,003.70 and 5,187.41 is: 7,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.98 : 8,003.70 = 5,187.41 : x
  2. Step 2: Convert to fraction form
    5,830.98/8,003.70 = 5,187.41/x
  3. Step 3: Cross multiply
    5,830.98x = 8,003.70 × 5,187.41
  4. Step 4: Simplify right side
    5,830.98x = 41,518,493.43
  5. Step 5: Solve for x
    x = 41,518,493.43/5,830.98
  6. Step 6: Final answer
    x = 7,120.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.