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Finding the Fourth Proportional to 3,851.52, 5,777.76 and 1,903.68

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Solution

The fourth proportional to 3,851.52, 5,777.76 and 1,903.68 is: 2,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.52 : 5,777.76 = 1,903.68 : x
  2. Step 2: Convert to fraction form
    3,851.52/5,777.76 = 1,903.68/x
  3. Step 3: Cross multiply
    3,851.52x = 5,777.76 × 1,903.68
  4. Step 4: Simplify right side
    3,851.52x = 10,999,006.16
  5. Step 5: Solve for x
    x = 10,999,006.16/3,851.52
  6. Step 6: Final answer
    x = 2,855.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.