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Finding the Fourth Proportional to 3,125.40, 4,313.14 and 1,709.16

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Solution

The fourth proportional to 3,125.40, 4,313.14 and 1,709.16 is: 2,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.40 : 4,313.14 = 1,709.16 : x
  2. Step 2: Convert to fraction form
    3,125.40/4,313.14 = 1,709.16/x
  3. Step 3: Cross multiply
    3,125.40x = 4,313.14 × 1,709.16
  4. Step 4: Simplify right side
    3,125.40x = 7,371,846.36
  5. Step 5: Solve for x
    x = 7,371,846.36/3,125.40
  6. Step 6: Final answer
    x = 2,358.69

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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.