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Finding the Fourth Proportional to 6,381.60, 8,805.76 and 3,548.96

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Solution

The fourth proportional to 6,381.60, 8,805.76 and 3,548.96 is: 4,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 8,805.76 = 3,548.96 : x
  2. Step 2: Convert to fraction form
    6,381.60/8,805.76 = 3,548.96/x
  3. Step 3: Cross multiply
    6,381.60x = 8,805.76 × 3,548.96
  4. Step 4: Simplify right side
    6,381.60x = 31,251,290.01
  5. Step 5: Solve for x
    x = 31,251,290.01/6,381.60
  6. Step 6: Final answer
    x = 4,897.09

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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.