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Finding the Fourth Proportional to 3,480.54, 4,803.75 and 2,084.10

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Solution

The fourth proportional to 3,480.54, 4,803.75 and 2,084.10 is: 2,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.54 : 4,803.75 = 2,084.10 : x
  2. Step 2: Convert to fraction form
    3,480.54/4,803.75 = 2,084.10/x
  3. Step 3: Cross multiply
    3,480.54x = 4,803.75 × 2,084.10
  4. Step 4: Simplify right side
    3,480.54x = 10,011,495.38
  5. Step 5: Solve for x
    x = 10,011,495.38/3,480.54
  6. Step 6: Final answer
    x = 2,876.42

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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.