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Finding the Fourth Proportional to 4,542.71, 6,267.30 and 2,971.71

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Solution

The fourth proportional to 4,542.71, 6,267.30 and 2,971.71 is: 4,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.71 : 6,267.30 = 2,971.71 : x
  2. Step 2: Convert to fraction form
    4,542.71/6,267.30 = 2,971.71/x
  3. Step 3: Cross multiply
    4,542.71x = 6,267.30 × 2,971.71
  4. Step 4: Simplify right side
    4,542.71x = 18,624,598.08
  5. Step 5: Solve for x
    x = 18,624,598.08/4,542.71
  6. Step 6: Final answer
    x = 4,099.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.