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Finding the Fourth Proportional to 3,735.90, 5,599.05 and 1,546.14

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Solution

The fourth proportional to 3,735.90, 5,599.05 and 1,546.14 is: 2,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.90 : 5,599.05 = 1,546.14 : x
  2. Step 2: Convert to fraction form
    3,735.90/5,599.05 = 1,546.14/x
  3. Step 3: Cross multiply
    3,735.90x = 5,599.05 × 1,546.14
  4. Step 4: Simplify right side
    3,735.90x = 8,656,915.17
  5. Step 5: Solve for x
    x = 8,656,915.17/3,735.90
  6. Step 6: Final answer
    x = 2,317.22

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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.