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Finding the Fourth Proportional to 3,365.06, 5,047.35 and 3,172.34

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Solution

The fourth proportional to 3,365.06, 5,047.35 and 3,172.34 is: 4,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.06 : 5,047.35 = 3,172.34 : x
  2. Step 2: Convert to fraction form
    3,365.06/5,047.35 = 3,172.34/x
  3. Step 3: Cross multiply
    3,365.06x = 5,047.35 × 3,172.34
  4. Step 4: Simplify right side
    3,365.06x = 16,011,885.06
  5. Step 5: Solve for x
    x = 16,011,885.06/3,365.06
  6. Step 6: Final answer
    x = 4,758.28

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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.