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Finding the Fourth Proportional to 3,035.57, 4,188.99 and 1,709.34

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Solution

The fourth proportional to 3,035.57, 4,188.99 and 1,709.34 is: 2,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.57 : 4,188.99 = 1,709.34 : x
  2. Step 2: Convert to fraction form
    3,035.57/4,188.99 = 1,709.34/x
  3. Step 3: Cross multiply
    3,035.57x = 4,188.99 × 1,709.34
  4. Step 4: Simplify right side
    3,035.57x = 7,160,408.17
  5. Step 5: Solve for x
    x = 7,160,408.17/3,035.57
  6. Step 6: Final answer
    x = 2,358.84

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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.