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Finding the Fourth Proportional to 3,546.10, 5,319.15 and 913.60

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Solution

The fourth proportional to 3,546.10, 5,319.15 and 913.60 is: 1,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.10 : 5,319.15 = 913.60 : x
  2. Step 2: Convert to fraction form
    3,546.10/5,319.15 = 913.60/x
  3. Step 3: Cross multiply
    3,546.10x = 5,319.15 × 913.60
  4. Step 4: Simplify right side
    3,546.10x = 4,859,575.44
  5. Step 5: Solve for x
    x = 4,859,575.44/3,546.10
  6. Step 6: Final answer
    x = 1,370.40

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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.