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Finding the Fourth Proportional to 3,586.64, 4,938.12 and 3,060.56

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Solution

The fourth proportional to 3,586.64, 4,938.12 and 3,060.56 is: 4,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.64 : 4,938.12 = 3,060.56 : x
  2. Step 2: Convert to fraction form
    3,586.64/4,938.12 = 3,060.56/x
  3. Step 3: Cross multiply
    3,586.64x = 4,938.12 × 3,060.56
  4. Step 4: Simplify right side
    3,586.64x = 15,113,412.55
  5. Step 5: Solve for x
    x = 15,113,412.55/3,586.64
  6. Step 6: Final answer
    x = 4,213.81

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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.