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Finding the Fourth Proportional to 3,209.46, 4,836.08 and 2,855.89

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Solution

The fourth proportional to 3,209.46, 4,836.08 and 2,855.89 is: 4,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.46 : 4,836.08 = 2,855.89 : x
  2. Step 2: Convert to fraction form
    3,209.46/4,836.08 = 2,855.89/x
  3. Step 3: Cross multiply
    3,209.46x = 4,836.08 × 2,855.89
  4. Step 4: Simplify right side
    3,209.46x = 13,811,312.51
  5. Step 5: Solve for x
    x = 13,811,312.51/3,209.46
  6. Step 6: Final answer
    x = 4,303.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.