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Finding the Fourth Proportional to 4,722.71, 7,102.54 and 3,984.59

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Solution

The fourth proportional to 4,722.71, 7,102.54 and 3,984.59 is: 5,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.71 : 7,102.54 = 3,984.59 : x
  2. Step 2: Convert to fraction form
    4,722.71/7,102.54 = 3,984.59/x
  3. Step 3: Cross multiply
    4,722.71x = 7,102.54 × 3,984.59
  4. Step 4: Simplify right side
    4,722.71x = 28,300,710.18
  5. Step 5: Solve for x
    x = 28,300,710.18/4,722.71
  6. Step 6: Final answer
    x = 5,992.48

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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.