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Finding the Fourth Proportional to 4,647.72, 6,972.33 and 1,526.82

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Solution

The fourth proportional to 4,647.72, 6,972.33 and 1,526.82 is: 2,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.72 : 6,972.33 = 1,526.82 : x
  2. Step 2: Convert to fraction form
    4,647.72/6,972.33 = 1,526.82/x
  3. Step 3: Cross multiply
    4,647.72x = 6,972.33 × 1,526.82
  4. Step 4: Simplify right side
    4,647.72x = 10,645,450.39
  5. Step 5: Solve for x
    x = 10,645,450.39/4,647.72
  6. Step 6: Final answer
    x = 2,290.47

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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.