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Finding the Fourth Proportional to 3,412.47, 4,709.34 and 1,920.36

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Solution

The fourth proportional to 3,412.47, 4,709.34 and 1,920.36 is: 2,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.47 : 4,709.34 = 1,920.36 : x
  2. Step 2: Convert to fraction form
    3,412.47/4,709.34 = 1,920.36/x
  3. Step 3: Cross multiply
    3,412.47x = 4,709.34 × 1,920.36
  4. Step 4: Simplify right side
    3,412.47x = 9,043,628.16
  5. Step 5: Solve for x
    x = 9,043,628.16/3,412.47
  6. Step 6: Final answer
    x = 2,650.17

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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.