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Finding the Fourth Proportional to 5,973.41, 8,224.47 and 5,419.82

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Solution

The fourth proportional to 5,973.41, 8,224.47 and 5,419.82 is: 7,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.41 : 8,224.47 = 5,419.82 : x
  2. Step 2: Convert to fraction form
    5,973.41/8,224.47 = 5,419.82/x
  3. Step 3: Cross multiply
    5,973.41x = 8,224.47 × 5,419.82
  4. Step 4: Simplify right side
    5,973.41x = 44,575,126.43
  5. Step 5: Solve for x
    x = 44,575,126.43/5,973.41
  6. Step 6: Final answer
    x = 7,462.26

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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.