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Finding the Fourth Proportional to 3,419.72, 4,718.87 and 1,927.49

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Solution

The fourth proportional to 3,419.72, 4,718.87 and 1,927.49 is: 2,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.72 : 4,718.87 = 1,927.49 : x
  2. Step 2: Convert to fraction form
    3,419.72/4,718.87 = 1,927.49/x
  3. Step 3: Cross multiply
    3,419.72x = 4,718.87 × 1,927.49
  4. Step 4: Simplify right side
    3,419.72x = 9,095,574.74
  5. Step 5: Solve for x
    x = 9,095,574.74/3,419.72
  6. Step 6: Final answer
    x = 2,659.75

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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.