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Finding the Fourth Proportional to 3,877.97, 5,820.31 and 2,030.38

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Solution

The fourth proportional to 3,877.97, 5,820.31 and 2,030.38 is: 3,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.97 : 5,820.31 = 2,030.38 : x
  2. Step 2: Convert to fraction form
    3,877.97/5,820.31 = 2,030.38/x
  3. Step 3: Cross multiply
    3,877.97x = 5,820.31 × 2,030.38
  4. Step 4: Simplify right side
    3,877.97x = 11,817,411.92
  5. Step 5: Solve for x
    x = 11,817,411.92/3,877.97
  6. Step 6: Final answer
    x = 3,047.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.