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Finding the Fourth Proportional to 3,746.49, 5,170.01 and 2,174.46

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Solution

The fourth proportional to 3,746.49, 5,170.01 and 2,174.46 is: 3,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.49 : 5,170.01 = 2,174.46 : x
  2. Step 2: Convert to fraction form
    3,746.49/5,170.01 = 2,174.46/x
  3. Step 3: Cross multiply
    3,746.49x = 5,170.01 × 2,174.46
  4. Step 4: Simplify right side
    3,746.49x = 11,241,969.07
  5. Step 5: Solve for x
    x = 11,241,969.07/3,746.49
  6. Step 6: Final answer
    x = 3,000.67

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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.