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Finding the Fourth Proportional to 5,828.16, 8,046.84 and 4,481.40

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Solution

The fourth proportional to 5,828.16, 8,046.84 and 4,481.40 is: 6,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.16 : 8,046.84 = 4,481.40 : x
  2. Step 2: Convert to fraction form
    5,828.16/8,046.84 = 4,481.40/x
  3. Step 3: Cross multiply
    5,828.16x = 8,046.84 × 4,481.40
  4. Step 4: Simplify right side
    5,828.16x = 36,061,108.78
  5. Step 5: Solve for x
    x = 36,061,108.78/5,828.16
  6. Step 6: Final answer
    x = 6,187.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.