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Finding the Fourth Proportional to 5,689.50, 7,849.33 and 4,200.99

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Solution

The fourth proportional to 5,689.50, 7,849.33 and 4,200.99 is: 5,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.50 : 7,849.33 = 4,200.99 : x
  2. Step 2: Convert to fraction form
    5,689.50/7,849.33 = 4,200.99/x
  3. Step 3: Cross multiply
    5,689.50x = 7,849.33 × 4,200.99
  4. Step 4: Simplify right side
    5,689.50x = 32,974,956.84
  5. Step 5: Solve for x
    x = 32,974,956.84/5,689.50
  6. Step 6: Final answer
    x = 5,795.76

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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.