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Finding the Fourth Proportional to 4,721.47, 7,089.52 and 2,534.47

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Solution

The fourth proportional to 4,721.47, 7,089.52 and 2,534.47 is: 3,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.47 : 7,089.52 = 2,534.47 : x
  2. Step 2: Convert to fraction form
    4,721.47/7,089.52 = 2,534.47/x
  3. Step 3: Cross multiply
    4,721.47x = 7,089.52 × 2,534.47
  4. Step 4: Simplify right side
    4,721.47x = 17,968,163.08
  5. Step 5: Solve for x
    x = 17,968,163.08/4,721.47
  6. Step 6: Final answer
    x = 3,805.63

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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.