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Finding the Fourth Proportional to 3,644.86, 5,459.18 and 3,170.28

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Solution

The fourth proportional to 3,644.86, 5,459.18 and 3,170.28 is: 4,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.86 : 5,459.18 = 3,170.28 : x
  2. Step 2: Convert to fraction form
    3,644.86/5,459.18 = 3,170.28/x
  3. Step 3: Cross multiply
    3,644.86x = 5,459.18 × 3,170.28
  4. Step 4: Simplify right side
    3,644.86x = 17,307,129.17
  5. Step 5: Solve for x
    x = 17,307,129.17/3,644.86
  6. Step 6: Final answer
    x = 4,748.37

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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.