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Finding the Fourth Proportional to 3,978.82, 5,491.29 and 2,407.06

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Solution

The fourth proportional to 3,978.82, 5,491.29 and 2,407.06 is: 3,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.82 : 5,491.29 = 2,407.06 : x
  2. Step 2: Convert to fraction form
    3,978.82/5,491.29 = 2,407.06/x
  3. Step 3: Cross multiply
    3,978.82x = 5,491.29 × 2,407.06
  4. Step 4: Simplify right side
    3,978.82x = 13,217,864.51
  5. Step 5: Solve for x
    x = 13,217,864.51/3,978.82
  6. Step 6: Final answer
    x = 3,322.06

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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.