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Finding the Fourth Proportional to 5,735.07, 7,913.19 and 3,748.55

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Solution

The fourth proportional to 5,735.07, 7,913.19 and 3,748.55 is: 5,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.07 : 7,913.19 = 3,748.55 : x
  2. Step 2: Convert to fraction form
    5,735.07/7,913.19 = 3,748.55/x
  3. Step 3: Cross multiply
    5,735.07x = 7,913.19 × 3,748.55
  4. Step 4: Simplify right side
    5,735.07x = 29,662,962.87
  5. Step 5: Solve for x
    x = 29,662,962.87/5,735.07
  6. Step 6: Final answer
    x = 5,172.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.