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Finding the Fourth Proportional to 5,672.10, 7,827.49 and 3,188.10

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Solution

The fourth proportional to 5,672.10, 7,827.49 and 3,188.10 is: 4,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.10 : 7,827.49 = 3,188.10 : x
  2. Step 2: Convert to fraction form
    5,672.10/7,827.49 = 3,188.10/x
  3. Step 3: Cross multiply
    5,672.10x = 7,827.49 × 3,188.10
  4. Step 4: Simplify right side
    5,672.10x = 24,954,804.93
  5. Step 5: Solve for x
    x = 24,954,804.93/5,672.10
  6. Step 6: Final answer
    x = 4,399.57

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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.