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Finding the Fourth Proportional to 5,877.56, 8,103.75 and 4,814.03

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Solution

The fourth proportional to 5,877.56, 8,103.75 and 4,814.03 is: 6,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.56 : 8,103.75 = 4,814.03 : x
  2. Step 2: Convert to fraction form
    5,877.56/8,103.75 = 4,814.03/x
  3. Step 3: Cross multiply
    5,877.56x = 8,103.75 × 4,814.03
  4. Step 4: Simplify right side
    5,877.56x = 39,011,697.82
  5. Step 5: Solve for x
    x = 39,011,697.82/5,877.56
  6. Step 6: Final answer
    x = 6,637.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.