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Finding the Fourth Proportional to 3,125.50, 4,313.19 and 1,709.20

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Solution

The fourth proportional to 3,125.50, 4,313.19 and 1,709.20 is: 2,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.50 : 4,313.19 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    3,125.50/4,313.19 = 1,709.20/x
  3. Step 3: Cross multiply
    3,125.50x = 4,313.19 × 1,709.20
  4. Step 4: Simplify right side
    3,125.50x = 7,372,104.35
  5. Step 5: Solve for x
    x = 7,372,104.35/3,125.50
  6. Step 6: Final answer
    x = 2,358.70

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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.