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Finding the Fourth Proportional to 4,775.62, 7,166.22 and 2,002.08

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Solution

The fourth proportional to 4,775.62, 7,166.22 and 2,002.08 is: 3,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.62 : 7,166.22 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    4,775.62/7,166.22 = 2,002.08/x
  3. Step 3: Cross multiply
    4,775.62x = 7,166.22 × 2,002.08
  4. Step 4: Simplify right side
    4,775.62x = 14,347,322.82
  5. Step 5: Solve for x
    x = 14,347,322.82/4,775.62
  6. Step 6: Final answer
    x = 3,004.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.