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Finding the Fourth Proportional to 4,542.86, 6,269.12 and 2,553.40

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Solution

The fourth proportional to 4,542.86, 6,269.12 and 2,553.40 is: 3,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.86 : 6,269.12 = 2,553.40 : x
  2. Step 2: Convert to fraction form
    4,542.86/6,269.12 = 2,553.40/x
  3. Step 3: Cross multiply
    4,542.86x = 6,269.12 × 2,553.40
  4. Step 4: Simplify right side
    4,542.86x = 16,007,542.57
  5. Step 5: Solve for x
    x = 16,007,542.57/4,542.86
  6. Step 6: Final answer
    x = 3,523.67

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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.