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Finding the Fourth Proportional to 3,258.14, 4,887.16 and 792.95

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Solution

The fourth proportional to 3,258.14, 4,887.16 and 792.95 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.14 : 4,887.16 = 792.95 : x
  2. Step 2: Convert to fraction form
    3,258.14/4,887.16 = 792.95/x
  3. Step 3: Cross multiply
    3,258.14x = 4,887.16 × 792.95
  4. Step 4: Simplify right side
    3,258.14x = 3,875,283.76
  5. Step 5: Solve for x
    x = 3,875,283.76/3,258.14
  6. Step 6: Final answer
    x = 1,189.42

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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.