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Finding the Fourth Proportional to 3,000.56, 4,142.50 and 2,009.12

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Solution

The fourth proportional to 3,000.56, 4,142.50 and 2,009.12 is: 2,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.56 : 4,142.50 = 2,009.12 : x
  2. Step 2: Convert to fraction form
    3,000.56/4,142.50 = 2,009.12/x
  3. Step 3: Cross multiply
    3,000.56x = 4,142.50 × 2,009.12
  4. Step 4: Simplify right side
    3,000.56x = 8,322,779.60
  5. Step 5: Solve for x
    x = 8,322,779.60/3,000.56
  6. Step 6: Final answer
    x = 2,773.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.