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Finding the Fourth Proportional to 4,193.40, 6,321.09 and 3,905.40

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Solution

The fourth proportional to 4,193.40, 6,321.09 and 3,905.40 is: 5,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.40 : 6,321.09 = 3,905.40 : x
  2. Step 2: Convert to fraction form
    4,193.40/6,321.09 = 3,905.40/x
  3. Step 3: Cross multiply
    4,193.40x = 6,321.09 × 3,905.40
  4. Step 4: Simplify right side
    4,193.40x = 24,686,384.89
  5. Step 5: Solve for x
    x = 24,686,384.89/4,193.40
  6. Step 6: Final answer
    x = 5,886.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.