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Finding the Fourth Proportional to 4,675, 7,012.68 and 1,597

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Solution

The fourth proportional to 4,675, 7,012.68 and 1,597 is: 2,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675 : 7,012.68 = 1,597 : x
  2. Step 2: Convert to fraction form
    4,675/7,012.68 = 1,597/x
  3. Step 3: Cross multiply
    4,675x = 7,012.68 × 1,597
  4. Step 4: Simplify right side
    4,675x = 11,199,249.96
  5. Step 5: Solve for x
    x = 11,199,249.96/4,675
  6. Step 6: Final answer
    x = 2,395.56

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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.