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Finding the Fourth Proportional to 6,395.76, 9,599.58 and 3,278.00

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Solution

The fourth proportional to 6,395.76, 9,599.58 and 3,278.00 is: 4,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.76 : 9,599.58 = 3,278.00 : x
  2. Step 2: Convert to fraction form
    6,395.76/9,599.58 = 3,278.00/x
  3. Step 3: Cross multiply
    6,395.76x = 9,599.58 × 3,278.00
  4. Step 4: Simplify right side
    6,395.76x = 31,467,375.24
  5. Step 5: Solve for x
    x = 31,467,375.24/6,395.76
  6. Step 6: Final answer
    x = 4,920.04

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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.