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Finding the Fourth Proportional to 5,938.64, 8,195.54 and 3,842.76

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Solution

The fourth proportional to 5,938.64, 8,195.54 and 3,842.76 is: 5,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.64 : 8,195.54 = 3,842.76 : x
  2. Step 2: Convert to fraction form
    5,938.64/8,195.54 = 3,842.76/x
  3. Step 3: Cross multiply
    5,938.64x = 8,195.54 × 3,842.76
  4. Step 4: Simplify right side
    5,938.64x = 31,493,474.08
  5. Step 5: Solve for x
    x = 31,493,474.08/5,938.64
  6. Step 6: Final answer
    x = 5,303.15

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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.