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Finding the Fourth Proportional to 5,689.96, 7,849.70 and 3,450.98

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Solution

The fourth proportional to 5,689.96, 7,849.70 and 3,450.98 is: 4,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.96 : 7,849.70 = 3,450.98 : x
  2. Step 2: Convert to fraction form
    5,689.96/7,849.70 = 3,450.98/x
  3. Step 3: Cross multiply
    5,689.96x = 7,849.70 × 3,450.98
  4. Step 4: Simplify right side
    5,689.96x = 27,089,157.71
  5. Step 5: Solve for x
    x = 27,089,157.71/5,689.96
  6. Step 6: Final answer
    x = 4,760.87

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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.