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Finding the Fourth Proportional to 3,258.06, 4,886.76 and 917.88

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Solution

The fourth proportional to 3,258.06, 4,886.76 and 917.88 is: 1,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.06 : 4,886.76 = 917.88 : x
  2. Step 2: Convert to fraction form
    3,258.06/4,886.76 = 917.88/x
  3. Step 3: Cross multiply
    3,258.06x = 4,886.76 × 917.88
  4. Step 4: Simplify right side
    3,258.06x = 4,485,459.27
  5. Step 5: Solve for x
    x = 4,485,459.27/3,258.06
  6. Step 6: Final answer
    x = 1,376.73

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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.