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Finding the Fourth Proportional to 6,433, 8,877.60 and 3,638.56

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Solution

The fourth proportional to 6,433, 8,877.60 and 3,638.56 is: 5,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433 : 8,877.60 = 3,638.56 : x
  2. Step 2: Convert to fraction form
    6,433/8,877.60 = 3,638.56/x
  3. Step 3: Cross multiply
    6,433x = 8,877.60 × 3,638.56
  4. Step 4: Simplify right side
    6,433x = 32,301,680.26
  5. Step 5: Solve for x
    x = 32,301,680.26/6,433
  6. Step 6: Final answer
    x = 5,021.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.