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Finding the Fourth Proportional to 4,776.44, 7,165.01 and 2,002.70

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Solution

The fourth proportional to 4,776.44, 7,165.01 and 2,002.70 is: 3,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.44 : 7,165.01 = 2,002.70 : x
  2. Step 2: Convert to fraction form
    4,776.44/7,165.01 = 2,002.70/x
  3. Step 3: Cross multiply
    4,776.44x = 7,165.01 × 2,002.70
  4. Step 4: Simplify right side
    4,776.44x = 14,349,388.45
  5. Step 5: Solve for x
    x = 14,349,388.45/4,776.44
  6. Step 6: Final answer
    x = 3,004.20

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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.