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Finding the Fourth Proportional to 3,412.02, 4,709.16 and 1,976.17

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Solution

The fourth proportional to 3,412.02, 4,709.16 and 1,976.17 is: 2,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.02 : 4,709.16 = 1,976.17 : x
  2. Step 2: Convert to fraction form
    3,412.02/4,709.16 = 1,976.17/x
  3. Step 3: Cross multiply
    3,412.02x = 4,709.16 × 1,976.17
  4. Step 4: Simplify right side
    3,412.02x = 9,306,090.84
  5. Step 5: Solve for x
    x = 9,306,090.84/3,412.02
  6. Step 6: Final answer
    x = 2,727.45

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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.