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Finding the Fourth Proportional to 4,145.89, 5,723.29 and 2,654.67

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Solution

The fourth proportional to 4,145.89, 5,723.29 and 2,654.67 is: 3,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.89 : 5,723.29 = 2,654.67 : x
  2. Step 2: Convert to fraction form
    4,145.89/5,723.29 = 2,654.67/x
  3. Step 3: Cross multiply
    4,145.89x = 5,723.29 × 2,654.67
  4. Step 4: Simplify right side
    4,145.89x = 15,193,456.11
  5. Step 5: Solve for x
    x = 15,193,456.11/4,145.89
  6. Step 6: Final answer
    x = 3,664.70

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1.5x scale

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.