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Finding the Fourth Proportional to 3,257.83, 4,886.68 and 792.63

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Solution

The fourth proportional to 3,257.83, 4,886.68 and 792.63 is: 1,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.83 : 4,886.68 = 792.63 : x
  2. Step 2: Convert to fraction form
    3,257.83/4,886.68 = 792.63/x
  3. Step 3: Cross multiply
    3,257.83x = 4,886.68 × 792.63
  4. Step 4: Simplify right side
    3,257.83x = 3,873,300.77
  5. Step 5: Solve for x
    x = 3,873,300.77/3,257.83
  6. Step 6: Final answer
    x = 1,188.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.