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Finding the Fourth Proportional to 3,473, 4,792.75 and 1,901.10

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Solution

The fourth proportional to 3,473, 4,792.75 and 1,901.10 is: 2,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473 : 4,792.75 = 1,901.10 : x
  2. Step 2: Convert to fraction form
    3,473/4,792.75 = 1,901.10/x
  3. Step 3: Cross multiply
    3,473x = 4,792.75 × 1,901.10
  4. Step 4: Simplify right side
    3,473x = 9,111,463.56
  5. Step 5: Solve for x
    x = 9,111,463.56/3,473
  6. Step 6: Final answer
    x = 2,623.51

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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.