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Finding the Fourth Proportional to 4,867.55, 7,302.23 and 2,270.48

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Solution

The fourth proportional to 4,867.55, 7,302.23 and 2,270.48 is: 3,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.55 : 7,302.23 = 2,270.48 : x
  2. Step 2: Convert to fraction form
    4,867.55/7,302.23 = 2,270.48/x
  3. Step 3: Cross multiply
    4,867.55x = 7,302.23 × 2,270.48
  4. Step 4: Simplify right side
    4,867.55x = 16,579,591.10
  5. Step 5: Solve for x
    x = 16,579,591.10/4,867.55
  6. Step 6: Final answer
    x = 3,406.15

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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.