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Finding the Fourth Proportional to 3,735.48, 5,622.69 and 3,171.72

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Solution

The fourth proportional to 3,735.48, 5,622.69 and 3,171.72 is: 4,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.48 : 5,622.69 = 3,171.72 : x
  2. Step 2: Convert to fraction form
    3,735.48/5,622.69 = 3,171.72/x
  3. Step 3: Cross multiply
    3,735.48x = 5,622.69 × 3,171.72
  4. Step 4: Simplify right side
    3,735.48x = 17,833,598.33
  5. Step 5: Solve for x
    x = 17,833,598.33/3,735.48
  6. Step 6: Final answer
    x = 4,774.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.