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Finding the Fourth Proportional to 4,844.02, 7,266.30 and 1,381

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Solution

The fourth proportional to 4,844.02, 7,266.30 and 1,381 is: 2,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.02 : 7,266.30 = 1,381 : x
  2. Step 2: Convert to fraction form
    4,844.02/7,266.30 = 1,381/x
  3. Step 3: Cross multiply
    4,844.02x = 7,266.30 × 1,381
  4. Step 4: Simplify right side
    4,844.02x = 10,034,760.30
  5. Step 5: Solve for x
    x = 10,034,760.30/4,844.02
  6. Step 6: Final answer
    x = 2,071.58

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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.