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Finding the Fourth Proportional to 5,205.96, 7,827.67 and 4,800.06

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Solution

The fourth proportional to 5,205.96, 7,827.67 and 4,800.06 is: 7,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.96 : 7,827.67 = 4,800.06 : x
  2. Step 2: Convert to fraction form
    5,205.96/7,827.67 = 4,800.06/x
  3. Step 3: Cross multiply
    5,205.96x = 7,827.67 × 4,800.06
  4. Step 4: Simplify right side
    5,205.96x = 37,573,285.66
  5. Step 5: Solve for x
    x = 37,573,285.66/5,205.96
  6. Step 6: Final answer
    x = 7,217.36

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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.