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Finding the Fourth Proportional to 3,035.86, 4,189.42 and 1,709.71

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Solution

The fourth proportional to 3,035.86, 4,189.42 and 1,709.71 is: 2,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.86 : 4,189.42 = 1,709.71 : x
  2. Step 2: Convert to fraction form
    3,035.86/4,189.42 = 1,709.71/x
  3. Step 3: Cross multiply
    3,035.86x = 4,189.42 × 1,709.71
  4. Step 4: Simplify right side
    3,035.86x = 7,162,693.27
  5. Step 5: Solve for x
    x = 7,162,693.27/3,035.86
  6. Step 6: Final answer
    x = 2,359.36

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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.