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Finding the Fourth Proportional to 5,368.72, 8,052 and 1,472.62

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Solution

The fourth proportional to 5,368.72, 8,052 and 1,472.62 is: 2,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.72 : 8,052 = 1,472.62 : x
  2. Step 2: Convert to fraction form
    5,368.72/8,052 = 1,472.62/x
  3. Step 3: Cross multiply
    5,368.72x = 8,052 × 1,472.62
  4. Step 4: Simplify right side
    5,368.72x = 11,857,536.24
  5. Step 5: Solve for x
    x = 11,857,536.24/5,368.72
  6. Step 6: Final answer
    x = 2,208.63

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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.