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Finding the Fourth Proportional to 4,713.93, 7,073.60 and 2,767.50

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Solution

The fourth proportional to 4,713.93, 7,073.60 and 2,767.50 is: 4,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.93 : 7,073.60 = 2,767.50 : x
  2. Step 2: Convert to fraction form
    4,713.93/7,073.60 = 2,767.50/x
  3. Step 3: Cross multiply
    4,713.93x = 7,073.60 × 2,767.50
  4. Step 4: Simplify right side
    4,713.93x = 19,576,174.16
  5. Step 5: Solve for x
    x = 19,576,174.16/4,713.93
  6. Step 6: Final answer
    x = 4,152.84

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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.