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Finding the Fourth Proportional to 3,419.21, 4,717.98 and 1,927.10

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Solution

The fourth proportional to 3,419.21, 4,717.98 and 1,927.10 is: 2,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.21 : 4,717.98 = 1,927.10 : x
  2. Step 2: Convert to fraction form
    3,419.21/4,717.98 = 1,927.10/x
  3. Step 3: Cross multiply
    3,419.21x = 4,717.98 × 1,927.10
  4. Step 4: Simplify right side
    3,419.21x = 9,091,995.67
  5. Step 5: Solve for x
    x = 9,091,995.67/3,419.21
  6. Step 6: Final answer
    x = 2,659.10

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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.