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Finding the Fourth Proportional to 4,272, 6,397.68 and 2,075.28

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Solution

The fourth proportional to 4,272, 6,397.68 and 2,075.28 is: 3,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 6,397.68 = 2,075.28 : x
  2. Step 2: Convert to fraction form
    4,272/6,397.68 = 2,075.28/x
  3. Step 3: Cross multiply
    4,272x = 6,397.68 × 2,075.28
  4. Step 4: Simplify right side
    4,272x = 13,276,977.35
  5. Step 5: Solve for x
    x = 13,276,977.35/4,272
  6. Step 6: Final answer
    x = 3,107.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.