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Finding the Fourth Proportional to 3,877.94, 5,813.13 and 1,537.18

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Solution

The fourth proportional to 3,877.94, 5,813.13 and 1,537.18 is: 2,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.94 : 5,813.13 = 1,537.18 : x
  2. Step 2: Convert to fraction form
    3,877.94/5,813.13 = 1,537.18/x
  3. Step 3: Cross multiply
    3,877.94x = 5,813.13 × 1,537.18
  4. Step 4: Simplify right side
    3,877.94x = 8,935,818.40
  5. Step 5: Solve for x
    x = 8,935,818.40/3,877.94
  6. Step 6: Final answer
    x = 2,304.27

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Why These Related Problems?

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