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Finding the Fourth Proportional to 3,133.76, 4,700.57 and 825.26

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Solution

The fourth proportional to 3,133.76, 4,700.57 and 825.26 is: 1,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.76 : 4,700.57 = 825.26 : x
  2. Step 2: Convert to fraction form
    3,133.76/4,700.57 = 825.26/x
  3. Step 3: Cross multiply
    3,133.76x = 4,700.57 × 825.26
  4. Step 4: Simplify right side
    3,133.76x = 3,879,164.77
  5. Step 5: Solve for x
    x = 3,879,164.77/3,133.76
  6. Step 6: Final answer
    x = 1,237.86

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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.