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Finding the Fourth Proportional to 3,500.81, 5,252.27 and 1,420.43

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Solution

The fourth proportional to 3,500.81, 5,252.27 and 1,420.43 is: 2,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.81 : 5,252.27 = 1,420.43 : x
  2. Step 2: Convert to fraction form
    3,500.81/5,252.27 = 1,420.43/x
  3. Step 3: Cross multiply
    3,500.81x = 5,252.27 × 1,420.43
  4. Step 4: Simplify right side
    3,500.81x = 7,460,448.51
  5. Step 5: Solve for x
    x = 7,460,448.51/3,500.81
  6. Step 6: Final answer
    x = 2,131.07

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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.