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Finding the Fourth Proportional to 3,877.68, 5,828.04 and 1,827.12

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Solution

The fourth proportional to 3,877.68, 5,828.04 and 1,827.12 is: 2,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.68 : 5,828.04 = 1,827.12 : x
  2. Step 2: Convert to fraction form
    3,877.68/5,828.04 = 1,827.12/x
  3. Step 3: Cross multiply
    3,877.68x = 5,828.04 × 1,827.12
  4. Step 4: Simplify right side
    3,877.68x = 10,648,528.44
  5. Step 5: Solve for x
    x = 10,648,528.44/3,877.68
  6. Step 6: Final answer
    x = 2,746.11

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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.