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Finding the Fourth Proportional to 3,258.46, 4,887.57 and 918.64

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Solution

The fourth proportional to 3,258.46, 4,887.57 and 918.64 is: 1,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.46 : 4,887.57 = 918.64 : x
  2. Step 2: Convert to fraction form
    3,258.46/4,887.57 = 918.64/x
  3. Step 3: Cross multiply
    3,258.46x = 4,887.57 × 918.64
  4. Step 4: Simplify right side
    3,258.46x = 4,489,926.86
  5. Step 5: Solve for x
    x = 4,489,926.86/3,258.46
  6. Step 6: Final answer
    x = 1,377.93

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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.