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Finding the Fourth Proportional to 4,827.61, 7,229.12 and 2,355.96

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Solution

The fourth proportional to 4,827.61, 7,229.12 and 2,355.96 is: 3,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.61 : 7,229.12 = 2,355.96 : x
  2. Step 2: Convert to fraction form
    4,827.61/7,229.12 = 2,355.96/x
  3. Step 3: Cross multiply
    4,827.61x = 7,229.12 × 2,355.96
  4. Step 4: Simplify right side
    4,827.61x = 17,031,517.52
  5. Step 5: Solve for x
    x = 17,031,517.52/4,827.61
  6. Step 6: Final answer
    x = 3,527.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.