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Finding the Fourth Proportional to 5,644.41, 7,793.06 and 4,325.01

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Solution

The fourth proportional to 5,644.41, 7,793.06 and 4,325.01 is: 5,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.41 : 7,793.06 = 4,325.01 : x
  2. Step 2: Convert to fraction form
    5,644.41/7,793.06 = 4,325.01/x
  3. Step 3: Cross multiply
    5,644.41x = 7,793.06 × 4,325.01
  4. Step 4: Simplify right side
    5,644.41x = 33,705,040.81
  5. Step 5: Solve for x
    x = 33,705,040.81/5,644.41
  6. Step 6: Final answer
    x = 5,971.40

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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.