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Finding the Fourth Proportional to 3,478.28, 4,800.41 and 2,415.75

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Solution

The fourth proportional to 3,478.28, 4,800.41 and 2,415.75 is: 3,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.28 : 4,800.41 = 2,415.75 : x
  2. Step 2: Convert to fraction form
    3,478.28/4,800.41 = 2,415.75/x
  3. Step 3: Cross multiply
    3,478.28x = 4,800.41 × 2,415.75
  4. Step 4: Simplify right side
    3,478.28x = 11,596,578.38
  5. Step 5: Solve for x
    x = 11,596,578.38/3,478.28
  6. Step 6: Final answer
    x = 3,334.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.