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Finding the Fourth Proportional to 6,361.88, 8,781.36 and 4,266

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Solution

The fourth proportional to 6,361.88, 8,781.36 and 4,266 is: 5,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.88 : 8,781.36 = 4,266 : x
  2. Step 2: Convert to fraction form
    6,361.88/8,781.36 = 4,266/x
  3. Step 3: Cross multiply
    6,361.88x = 8,781.36 × 4,266
  4. Step 4: Simplify right side
    6,361.88x = 37,461,289.76
  5. Step 5: Solve for x
    x = 37,461,289.76/6,361.88
  6. Step 6: Final answer
    x = 5,888.40

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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.