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Finding the Fourth Proportional to 5,314.91, 7,973.01 and 1,805.49

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Solution

The fourth proportional to 5,314.91, 7,973.01 and 1,805.49 is: 2,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.91 : 7,973.01 = 1,805.49 : x
  2. Step 2: Convert to fraction form
    5,314.91/7,973.01 = 1,805.49/x
  3. Step 3: Cross multiply
    5,314.91x = 7,973.01 × 1,805.49
  4. Step 4: Simplify right side
    5,314.91x = 14,395,189.82
  5. Step 5: Solve for x
    x = 14,395,189.82/5,314.91
  6. Step 6: Final answer
    x = 2,708.46

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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.