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Finding the Fourth Proportional to 4,052.88, 6,075 and 2,895.12

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Solution

The fourth proportional to 4,052.88, 6,075 and 2,895.12 is: 4,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.88 : 6,075 = 2,895.12 : x
  2. Step 2: Convert to fraction form
    4,052.88/6,075 = 2,895.12/x
  3. Step 3: Cross multiply
    4,052.88x = 6,075 × 2,895.12
  4. Step 4: Simplify right side
    4,052.88x = 17,587,854
  5. Step 5: Solve for x
    x = 17,587,854/4,052.88
  6. Step 6: Final answer
    x = 4,339.59

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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.