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Finding the Fourth Proportional to 5,462.96, 7,537.08 and 4,272.24

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Solution

The fourth proportional to 5,462.96, 7,537.08 and 4,272.24 is: 5,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.96 : 7,537.08 = 4,272.24 : x
  2. Step 2: Convert to fraction form
    5,462.96/7,537.08 = 4,272.24/x
  3. Step 3: Cross multiply
    5,462.96x = 7,537.08 × 4,272.24
  4. Step 4: Simplify right side
    5,462.96x = 32,200,214.66
  5. Step 5: Solve for x
    x = 32,200,214.66/5,462.96
  6. Step 6: Final answer
    x = 5,894.28

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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.