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Finding the Fourth Proportional to 3,673.74, 5,054.72 and 3,174.78

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Solution

The fourth proportional to 3,673.74, 5,054.72 and 3,174.78 is: 4,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.74 : 5,054.72 = 3,174.78 : x
  2. Step 2: Convert to fraction form
    3,673.74/5,054.72 = 3,174.78/x
  3. Step 3: Cross multiply
    3,673.74x = 5,054.72 × 3,174.78
  4. Step 4: Simplify right side
    3,673.74x = 16,047,623.96
  5. Step 5: Solve for x
    x = 16,047,623.96/3,673.74
  6. Step 6: Final answer
    x = 4,368.20

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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.