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Finding the Fourth Proportional to 6,054.32, 9,075 and 3,129.68

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Solution

The fourth proportional to 6,054.32, 9,075 and 3,129.68 is: 4,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.32 : 9,075 = 3,129.68 : x
  2. Step 2: Convert to fraction form
    6,054.32/9,075 = 3,129.68/x
  3. Step 3: Cross multiply
    6,054.32x = 9,075 × 3,129.68
  4. Step 4: Simplify right side
    6,054.32x = 28,401,846
  5. Step 5: Solve for x
    x = 28,401,846/6,054.32
  6. Step 6: Final answer
    x = 4,691.17

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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.