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Finding the Fourth Proportional to 5,548.21, 7,645.93 and 3,973.57

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Solution

The fourth proportional to 5,548.21, 7,645.93 and 3,973.57 is: 5,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.21 : 7,645.93 = 3,973.57 : x
  2. Step 2: Convert to fraction form
    5,548.21/7,645.93 = 3,973.57/x
  3. Step 3: Cross multiply
    5,548.21x = 7,645.93 × 3,973.57
  4. Step 4: Simplify right side
    5,548.21x = 30,381,609.02
  5. Step 5: Solve for x
    x = 30,381,609.02/5,548.21
  6. Step 6: Final answer
    x = 5,475.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.