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Finding the Fourth Proportional to 5,734.90, 8,596.23 and 2,446.30

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Solution

The fourth proportional to 5,734.90, 8,596.23 and 2,446.30 is: 3,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.90 : 8,596.23 = 2,446.30 : x
  2. Step 2: Convert to fraction form
    5,734.90/8,596.23 = 2,446.30/x
  3. Step 3: Cross multiply
    5,734.90x = 8,596.23 × 2,446.30
  4. Step 4: Simplify right side
    5,734.90x = 21,028,957.45
  5. Step 5: Solve for x
    x = 21,028,957.45/5,734.90
  6. Step 6: Final answer
    x = 3,666.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.