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Finding the Fourth Proportional to 5,827.25, 8,041.62 and 3,174.72

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Solution

The fourth proportional to 5,827.25, 8,041.62 and 3,174.72 is: 4,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.25 : 8,041.62 = 3,174.72 : x
  2. Step 2: Convert to fraction form
    5,827.25/8,041.62 = 3,174.72/x
  3. Step 3: Cross multiply
    5,827.25x = 8,041.62 × 3,174.72
  4. Step 4: Simplify right side
    5,827.25x = 25,529,891.85
  5. Step 5: Solve for x
    x = 25,529,891.85/5,827.25
  6. Step 6: Final answer
    x = 4,381.13

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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.