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Finding the Fourth Proportional to 3,139.67, 4,710 and 1,059.86

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Solution

The fourth proportional to 3,139.67, 4,710 and 1,059.86 is: 1,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.67 : 4,710 = 1,059.86 : x
  2. Step 2: Convert to fraction form
    3,139.67/4,710 = 1,059.86/x
  3. Step 3: Cross multiply
    3,139.67x = 4,710 × 1,059.86
  4. Step 4: Simplify right side
    3,139.67x = 4,991,917.05
  5. Step 5: Solve for x
    x = 4,991,917.05/3,139.67
  6. Step 6: Final answer
    x = 1,589.95

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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.