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Finding the Fourth Proportional to 4,563, 6,295.14 and 2,883.78

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Solution

The fourth proportional to 4,563, 6,295.14 and 2,883.78 is: 3,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563 : 6,295.14 = 2,883.78 : x
  2. Step 2: Convert to fraction form
    4,563/6,295.14 = 2,883.78/x
  3. Step 3: Cross multiply
    4,563x = 6,295.14 × 2,883.78
  4. Step 4: Simplify right side
    4,563x = 18,153,798.83
  5. Step 5: Solve for x
    x = 18,153,798.83/4,563
  6. Step 6: Final answer
    x = 3,978.48

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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.