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Finding the Fourth Proportional to 4,765.88, 7,153.42 and 2,302.42

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Solution

The fourth proportional to 4,765.88, 7,153.42 and 2,302.42 is: 3,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.88 : 7,153.42 = 2,302.42 : x
  2. Step 2: Convert to fraction form
    4,765.88/7,153.42 = 2,302.42/x
  3. Step 3: Cross multiply
    4,765.88x = 7,153.42 × 2,302.42
  4. Step 4: Simplify right side
    4,765.88x = 16,470,177.28
  5. Step 5: Solve for x
    x = 16,470,177.28/4,765.88
  6. Step 6: Final answer
    x = 3,455.85

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1.5x scale

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.