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Finding the Fourth Proportional to 3,505.76, 5,258.60 and 1,314.44

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Solution

The fourth proportional to 3,505.76, 5,258.60 and 1,314.44 is: 1,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.76 : 5,258.60 = 1,314.44 : x
  2. Step 2: Convert to fraction form
    3,505.76/5,258.60 = 1,314.44/x
  3. Step 3: Cross multiply
    3,505.76x = 5,258.60 × 1,314.44
  4. Step 4: Simplify right side
    3,505.76x = 6,912,114.18
  5. Step 5: Solve for x
    x = 6,912,114.18/3,505.76
  6. Step 6: Final answer
    x = 1,971.65

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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.