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Finding the Fourth Proportional to 4,315, 5,954.70 and 2,452

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Solution

The fourth proportional to 4,315, 5,954.70 and 2,452 is: 3,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315 : 5,954.70 = 2,452 : x
  2. Step 2: Convert to fraction form
    4,315/5,954.70 = 2,452/x
  3. Step 3: Cross multiply
    4,315x = 5,954.70 × 2,452
  4. Step 4: Simplify right side
    4,315x = 14,600,924.40
  5. Step 5: Solve for x
    x = 14,600,924.40/4,315
  6. Step 6: Final answer
    x = 3,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.