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Finding the Fourth Proportional to 4,995.27, 7,495.74 and 3,240

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Solution

The fourth proportional to 4,995.27, 7,495.74 and 3,240 is: 4,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.27 : 7,495.74 = 3,240 : x
  2. Step 2: Convert to fraction form
    4,995.27/7,495.74 = 3,240/x
  3. Step 3: Cross multiply
    4,995.27x = 7,495.74 × 3,240
  4. Step 4: Simplify right side
    4,995.27x = 24,286,197.60
  5. Step 5: Solve for x
    x = 24,286,197.60/4,995.27
  6. Step 6: Final answer
    x = 4,861.84

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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.