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Finding the Fourth Proportional to 3,402, 4,694.76 and 2,075.49

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Solution

The fourth proportional to 3,402, 4,694.76 and 2,075.49 is: 2,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 4,694.76 = 2,075.49 : x
  2. Step 2: Convert to fraction form
    3,402/4,694.76 = 2,075.49/x
  3. Step 3: Cross multiply
    3,402x = 4,694.76 × 2,075.49
  4. Step 4: Simplify right side
    3,402x = 9,743,927.43
  5. Step 5: Solve for x
    x = 9,743,927.43/3,402
  6. Step 6: Final answer
    x = 2,864.18

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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.