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Finding the Fourth Proportional to 4,729.34, 7,094.02 and 1,266.50

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Solution

The fourth proportional to 4,729.34, 7,094.02 and 1,266.50 is: 1,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.34 : 7,094.02 = 1,266.50 : x
  2. Step 2: Convert to fraction form
    4,729.34/7,094.02 = 1,266.50/x
  3. Step 3: Cross multiply
    4,729.34x = 7,094.02 × 1,266.50
  4. Step 4: Simplify right side
    4,729.34x = 8,984,576.33
  5. Step 5: Solve for x
    x = 8,984,576.33/4,729.34
  6. Step 6: Final answer
    x = 1,899.75

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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.