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Finding the Fourth Proportional to 3,377.96, 4,661.82 and 1,886.18

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Solution

The fourth proportional to 3,377.96, 4,661.82 and 1,886.18 is: 2,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.96 : 4,661.82 = 1,886.18 : x
  2. Step 2: Convert to fraction form
    3,377.96/4,661.82 = 1,886.18/x
  3. Step 3: Cross multiply
    3,377.96x = 4,661.82 × 1,886.18
  4. Step 4: Simplify right side
    3,377.96x = 8,793,008.34
  5. Step 5: Solve for x
    x = 8,793,008.34/3,377.96
  6. Step 6: Final answer
    x = 2,603.06

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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.