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Finding the Fourth Proportional to 3,463.44, 4,775.91 and 2,283

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Solution

The fourth proportional to 3,463.44, 4,775.91 and 2,283 is: 3,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.44 : 4,775.91 = 2,283 : x
  2. Step 2: Convert to fraction form
    3,463.44/4,775.91 = 2,283/x
  3. Step 3: Cross multiply
    3,463.44x = 4,775.91 × 2,283
  4. Step 4: Simplify right side
    3,463.44x = 10,903,402.53
  5. Step 5: Solve for x
    x = 10,903,402.53/3,463.44
  6. Step 6: Final answer
    x = 3,148.14

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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.