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Finding the Fourth Proportional to 5,877.42, 8,816.49 and 1,928.94

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Solution

The fourth proportional to 5,877.42, 8,816.49 and 1,928.94 is: 2,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.42 : 8,816.49 = 1,928.94 : x
  2. Step 2: Convert to fraction form
    5,877.42/8,816.49 = 1,928.94/x
  3. Step 3: Cross multiply
    5,877.42x = 8,816.49 × 1,928.94
  4. Step 4: Simplify right side
    5,877.42x = 17,006,480.22
  5. Step 5: Solve for x
    x = 17,006,480.22/5,877.42
  6. Step 6: Final answer
    x = 2,893.53

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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.