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Finding the Fourth Proportional to 3,297.88, 4,548 and 2,969.83

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Solution

The fourth proportional to 3,297.88, 4,548 and 2,969.83 is: 4,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.88 : 4,548 = 2,969.83 : x
  2. Step 2: Convert to fraction form
    3,297.88/4,548 = 2,969.83/x
  3. Step 3: Cross multiply
    3,297.88x = 4,548 × 2,969.83
  4. Step 4: Simplify right side
    3,297.88x = 13,506,786.84
  5. Step 5: Solve for x
    x = 13,506,786.84/3,297.88
  6. Step 6: Final answer
    x = 4,095.60

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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.