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Finding the Fourth Proportional to 4,782.59, 7,173.90 and 4,166.75

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Solution

The fourth proportional to 4,782.59, 7,173.90 and 4,166.75 is: 6,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.59 : 7,173.90 = 4,166.75 : x
  2. Step 2: Convert to fraction form
    4,782.59/7,173.90 = 4,166.75/x
  3. Step 3: Cross multiply
    4,782.59x = 7,173.90 × 4,166.75
  4. Step 4: Simplify right side
    4,782.59x = 29,891,865.76
  5. Step 5: Solve for x
    x = 29,891,865.76/4,782.59
  6. Step 6: Final answer
    x = 6,250.14

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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.