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Finding the Fourth Proportional to 4,157.42, 6,236.06 and 2,405.06

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Solution

The fourth proportional to 4,157.42, 6,236.06 and 2,405.06 is: 3,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.42 : 6,236.06 = 2,405.06 : x
  2. Step 2: Convert to fraction form
    4,157.42/6,236.06 = 2,405.06/x
  3. Step 3: Cross multiply
    4,157.42x = 6,236.06 × 2,405.06
  4. Step 4: Simplify right side
    4,157.42x = 14,998,098.46
  5. Step 5: Solve for x
    x = 14,998,098.46/4,157.42
  6. Step 6: Final answer
    x = 3,607.55

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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.