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Finding the Fourth Proportional to 5,827.01, 8,737.81 and 1,877.54

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Solution

The fourth proportional to 5,827.01, 8,737.81 and 1,877.54 is: 2,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.01 : 8,737.81 = 1,877.54 : x
  2. Step 2: Convert to fraction form
    5,827.01/8,737.81 = 1,877.54/x
  3. Step 3: Cross multiply
    5,827.01x = 8,737.81 × 1,877.54
  4. Step 4: Simplify right side
    5,827.01x = 16,405,539.40
  5. Step 5: Solve for x
    x = 16,405,539.40/5,827.01
  6. Step 6: Final answer
    x = 2,815.43

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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.