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Finding the Fourth Proportional to 4,776.19, 7,164.62 and 2,000.06

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Solution

The fourth proportional to 4,776.19, 7,164.62 and 2,000.06 is: 3,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.19 : 7,164.62 = 2,000.06 : x
  2. Step 2: Convert to fraction form
    4,776.19/7,164.62 = 2,000.06/x
  3. Step 3: Cross multiply
    4,776.19x = 7,164.62 × 2,000.06
  4. Step 4: Simplify right side
    4,776.19x = 14,329,669.88
  5. Step 5: Solve for x
    x = 14,329,669.88/4,776.19
  6. Step 6: Final answer
    x = 3,000.23

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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.