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Finding the Fourth Proportional to 5,734.42, 8,596.16 and 2,442.98

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Solution

The fourth proportional to 5,734.42, 8,596.16 and 2,442.98 is: 3,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.42 : 8,596.16 = 2,442.98 : x
  2. Step 2: Convert to fraction form
    5,734.42/8,596.16 = 2,442.98/x
  3. Step 3: Cross multiply
    5,734.42x = 8,596.16 × 2,442.98
  4. Step 4: Simplify right side
    5,734.42x = 21,000,246.96
  5. Step 5: Solve for x
    x = 21,000,246.96/5,734.42
  6. Step 6: Final answer
    x = 3,662.14

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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.