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Finding the Fourth Proportional to 4,214.09, 6,321.89 and 1,749.11

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Solution

The fourth proportional to 4,214.09, 6,321.89 and 1,749.11 is: 2,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.09 : 6,321.89 = 1,749.11 : x
  2. Step 2: Convert to fraction form
    4,214.09/6,321.89 = 1,749.11/x
  3. Step 3: Cross multiply
    4,214.09x = 6,321.89 × 1,749.11
  4. Step 4: Simplify right side
    4,214.09x = 11,057,681.02
  5. Step 5: Solve for x
    x = 11,057,681.02/4,214.09
  6. Step 6: Final answer
    x = 2,623.98

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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.