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Finding the Fourth Proportional to 3,849.68, 5,775 and 1,384.76

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Solution

The fourth proportional to 3,849.68, 5,775 and 1,384.76 is: 2,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.68 : 5,775 = 1,384.76 : x
  2. Step 2: Convert to fraction form
    3,849.68/5,775 = 1,384.76/x
  3. Step 3: Cross multiply
    3,849.68x = 5,775 × 1,384.76
  4. Step 4: Simplify right side
    3,849.68x = 7,996,989
  5. Step 5: Solve for x
    x = 7,996,989/3,849.68
  6. Step 6: Final answer
    x = 2,077.31

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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.