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Finding the Fourth Proportional to 3,746.32, 5,169.81 and 2,174.34

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Solution

The fourth proportional to 3,746.32, 5,169.81 and 2,174.34 is: 3,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.32 : 5,169.81 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    3,746.32/5,169.81 = 2,174.34/x
  3. Step 3: Cross multiply
    3,746.32x = 5,169.81 × 2,174.34
  4. Step 4: Simplify right side
    3,746.32x = 11,240,898.83
  5. Step 5: Solve for x
    x = 11,240,898.83/3,746.32
  6. Step 6: Final answer
    x = 3,000.52

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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.