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Finding the Fourth Proportional to 5,672.55, 7,828.26 and 3,433.98

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Solution

The fourth proportional to 5,672.55, 7,828.26 and 3,433.98 is: 4,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.55 : 7,828.26 = 3,433.98 : x
  2. Step 2: Convert to fraction form
    5,672.55/7,828.26 = 3,433.98/x
  3. Step 3: Cross multiply
    5,672.55x = 7,828.26 × 3,433.98
  4. Step 4: Simplify right side
    5,672.55x = 26,882,088.27
  5. Step 5: Solve for x
    x = 26,882,088.27/5,672.55
  6. Step 6: Final answer
    x = 4,738.98

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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.