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Finding the Fourth Proportional to 3,476.92, 4,803.32 and 2,284.72

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Solution

The fourth proportional to 3,476.92, 4,803.32 and 2,284.72 is: 3,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.92 : 4,803.32 = 2,284.72 : x
  2. Step 2: Convert to fraction form
    3,476.92/4,803.32 = 2,284.72/x
  3. Step 3: Cross multiply
    3,476.92x = 4,803.32 × 2,284.72
  4. Step 4: Simplify right side
    3,476.92x = 10,974,241.27
  5. Step 5: Solve for x
    x = 10,974,241.27/3,476.92
  6. Step 6: Final answer
    x = 3,156.31

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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.