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Finding the Fourth Proportional to 3,476, 4,796.89 and 1,904.10

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Solution

The fourth proportional to 3,476, 4,796.89 and 1,904.10 is: 2,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 4,796.89 = 1,904.10 : x
  2. Step 2: Convert to fraction form
    3,476/4,796.89 = 1,904.10/x
  3. Step 3: Cross multiply
    3,476x = 4,796.89 × 1,904.10
  4. Step 4: Simplify right side
    3,476x = 9,133,724.74
  5. Step 5: Solve for x
    x = 9,133,724.74/3,476
  6. Step 6: Final answer
    x = 2,627.65

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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.