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Finding the Fourth Proportional to 5,827.14, 8,041.54 and 3,174.54

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Solution

The fourth proportional to 5,827.14, 8,041.54 and 3,174.54 is: 4,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.14 : 8,041.54 = 3,174.54 : x
  2. Step 2: Convert to fraction form
    5,827.14/8,041.54 = 3,174.54/x
  3. Step 3: Cross multiply
    5,827.14x = 8,041.54 × 3,174.54
  4. Step 4: Simplify right side
    5,827.14x = 25,528,206.66
  5. Step 5: Solve for x
    x = 25,528,206.66/5,827.14
  6. Step 6: Final answer
    x = 4,380.92

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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.