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Finding the Fourth Proportional to 5,462.34, 7,540.59 and 4,269.05

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Solution

The fourth proportional to 5,462.34, 7,540.59 and 4,269.05 is: 5,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.34 : 7,540.59 = 4,269.05 : x
  2. Step 2: Convert to fraction form
    5,462.34/7,540.59 = 4,269.05/x
  3. Step 3: Cross multiply
    5,462.34x = 7,540.59 × 4,269.05
  4. Step 4: Simplify right side
    5,462.34x = 32,191,204.74
  5. Step 5: Solve for x
    x = 32,191,204.74/5,462.34
  6. Step 6: Final answer
    x = 5,893.30

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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.