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Finding the Fourth Proportional to 3,450.93, 5,174.16 and 1,477.84

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Solution

The fourth proportional to 3,450.93, 5,174.16 and 1,477.84 is: 2,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.93 : 5,174.16 = 1,477.84 : x
  2. Step 2: Convert to fraction form
    3,450.93/5,174.16 = 1,477.84/x
  3. Step 3: Cross multiply
    3,450.93x = 5,174.16 × 1,477.84
  4. Step 4: Simplify right side
    3,450.93x = 7,646,580.61
  5. Step 5: Solve for x
    x = 7,646,580.61/3,450.93
  6. Step 6: Final answer
    x = 2,215.80

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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.