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Finding the Fourth Proportional to 4,776.90, 7,165.34 and 2,004.87

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Solution

The fourth proportional to 4,776.90, 7,165.34 and 2,004.87 is: 3,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.90 : 7,165.34 = 2,004.87 : x
  2. Step 2: Convert to fraction form
    4,776.90/7,165.34 = 2,004.87/x
  3. Step 3: Cross multiply
    4,776.90x = 7,165.34 × 2,004.87
  4. Step 4: Simplify right side
    4,776.90x = 14,365,575.21
  5. Step 5: Solve for x
    x = 14,365,575.21/4,776.90
  6. Step 6: Final answer
    x = 3,007.30

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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.