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Finding the Fourth Proportional to 3,258.21, 4,886.87 and 917.97

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Solution

The fourth proportional to 3,258.21, 4,886.87 and 917.97 is: 1,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.21 : 4,886.87 = 917.97 : x
  2. Step 2: Convert to fraction form
    3,258.21/4,886.87 = 917.97/x
  3. Step 3: Cross multiply
    3,258.21x = 4,886.87 × 917.97
  4. Step 4: Simplify right side
    3,258.21x = 4,486,009.79
  5. Step 5: Solve for x
    x = 4,486,009.79/3,258.21
  6. Step 6: Final answer
    x = 1,376.83

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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.