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Finding the Fourth Proportional to 4,538.88, 6,775.20 and 3,893.76

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Solution

The fourth proportional to 4,538.88, 6,775.20 and 3,893.76 is: 5,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.88 : 6,775.20 = 3,893.76 : x
  2. Step 2: Convert to fraction form
    4,538.88/6,775.20 = 3,893.76/x
  3. Step 3: Cross multiply
    4,538.88x = 6,775.20 × 3,893.76
  4. Step 4: Simplify right side
    4,538.88x = 26,381,002.75
  5. Step 5: Solve for x
    x = 26,381,002.75/4,538.88
  6. Step 6: Final answer
    x = 5,812.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.