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Finding the Fourth Proportional to 4,784.79, 7,180.02 and 2,593.47

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Solution

The fourth proportional to 4,784.79, 7,180.02 and 2,593.47 is: 3,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.79 : 7,180.02 = 2,593.47 : x
  2. Step 2: Convert to fraction form
    4,784.79/7,180.02 = 2,593.47/x
  3. Step 3: Cross multiply
    4,784.79x = 7,180.02 × 2,593.47
  4. Step 4: Simplify right side
    4,784.79x = 18,621,166.47
  5. Step 5: Solve for x
    x = 18,621,166.47/4,784.79
  6. Step 6: Final answer
    x = 3,891.74

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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.