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Finding the Fourth Proportional to 3,748.85, 5,174.17 and 2,156.62

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Solution

The fourth proportional to 3,748.85, 5,174.17 and 2,156.62 is: 2,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.85 : 5,174.17 = 2,156.62 : x
  2. Step 2: Convert to fraction form
    3,748.85/5,174.17 = 2,156.62/x
  3. Step 3: Cross multiply
    3,748.85x = 5,174.17 × 2,156.62
  4. Step 4: Simplify right side
    3,748.85x = 11,158,718.51
  5. Step 5: Solve for x
    x = 11,158,718.51/3,748.85
  6. Step 6: Final answer
    x = 2,976.57

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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.