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Finding the Fourth Proportional to 4,527, 6,771.74 and 4,250.52

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Solution

The fourth proportional to 4,527, 6,771.74 and 4,250.52 is: 6,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527 : 6,771.74 = 4,250.52 : x
  2. Step 2: Convert to fraction form
    4,527/6,771.74 = 4,250.52/x
  3. Step 3: Cross multiply
    4,527x = 6,771.74 × 4,250.52
  4. Step 4: Simplify right side
    4,527x = 28,783,416.30
  5. Step 5: Solve for x
    x = 28,783,416.30/4,527
  6. Step 6: Final answer
    x = 6,358.17

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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.