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Finding the Fourth Proportional to 4,145.56, 6,220.77 and 2,974.30

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Solution

The fourth proportional to 4,145.56, 6,220.77 and 2,974.30 is: 4,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.56 : 6,220.77 = 2,974.30 : x
  2. Step 2: Convert to fraction form
    4,145.56/6,220.77 = 2,974.30/x
  3. Step 3: Cross multiply
    4,145.56x = 6,220.77 × 2,974.30
  4. Step 4: Simplify right side
    4,145.56x = 18,502,409.51
  5. Step 5: Solve for x
    x = 18,502,409.51/4,145.56
  6. Step 6: Final answer
    x = 4,463.19

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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.