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Finding the Fourth Proportional to 3,311.96, 4,967.94 and 1,575.32

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Solution

The fourth proportional to 3,311.96, 4,967.94 and 1,575.32 is: 2,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.96 : 4,967.94 = 1,575.32 : x
  2. Step 2: Convert to fraction form
    3,311.96/4,967.94 = 1,575.32/x
  3. Step 3: Cross multiply
    3,311.96x = 4,967.94 × 1,575.32
  4. Step 4: Simplify right side
    3,311.96x = 7,826,095.24
  5. Step 5: Solve for x
    x = 7,826,095.24/3,311.96
  6. Step 6: Final answer
    x = 2,362.98

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Similar ratio
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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.