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Finding the Fourth Proportional to 4,938.34, 6,809.80 and 4,232.64

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Solution

The fourth proportional to 4,938.34, 6,809.80 and 4,232.64 is: 5,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.34 : 6,809.80 = 4,232.64 : x
  2. Step 2: Convert to fraction form
    4,938.34/6,809.80 = 4,232.64/x
  3. Step 3: Cross multiply
    4,938.34x = 6,809.80 × 4,232.64
  4. Step 4: Simplify right side
    4,938.34x = 28,823,431.87
  5. Step 5: Solve for x
    x = 28,823,431.87/4,938.34
  6. Step 6: Final answer
    x = 5,836.66

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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.