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Finding the Fourth Proportional to 4,789.79, 7,182.25 and 2,190.50

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Solution

The fourth proportional to 4,789.79, 7,182.25 and 2,190.50 is: 3,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.79 : 7,182.25 = 2,190.50 : x
  2. Step 2: Convert to fraction form
    4,789.79/7,182.25 = 2,190.50/x
  3. Step 3: Cross multiply
    4,789.79x = 7,182.25 × 2,190.50
  4. Step 4: Simplify right side
    4,789.79x = 15,732,718.63
  5. Step 5: Solve for x
    x = 15,732,718.63/4,789.79
  6. Step 6: Final answer
    x = 3,284.64

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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.