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Finding the Fourth Proportional to 4,567, 6,300.66 and 2,887.78

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Solution

The fourth proportional to 4,567, 6,300.66 and 2,887.78 is: 3,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,300.66 = 2,887.78 : x
  2. Step 2: Convert to fraction form
    4,567/6,300.66 = 2,887.78/x
  3. Step 3: Cross multiply
    4,567x = 6,300.66 × 2,887.78
  4. Step 4: Simplify right side
    4,567x = 18,194,919.93
  5. Step 5: Solve for x
    x = 18,194,919.93/4,567
  6. Step 6: Final answer
    x = 3,984.00

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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.