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Finding the Fourth Proportional to 4,836.08, 7,257.36 and 1,758.08

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Solution

The fourth proportional to 4,836.08, 7,257.36 and 1,758.08 is: 2,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.08 : 7,257.36 = 1,758.08 : x
  2. Step 2: Convert to fraction form
    4,836.08/7,257.36 = 1,758.08/x
  3. Step 3: Cross multiply
    4,836.08x = 7,257.36 × 1,758.08
  4. Step 4: Simplify right side
    4,836.08x = 12,759,019.47
  5. Step 5: Solve for x
    x = 12,759,019.47/4,836.08
  6. Step 6: Final answer
    x = 2,638.30

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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.