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Finding the Fourth Proportional to 4,663.80, 6,435.81 and 2,567.88

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Solution

The fourth proportional to 4,663.80, 6,435.81 and 2,567.88 is: 3,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.80 : 6,435.81 = 2,567.88 : x
  2. Step 2: Convert to fraction form
    4,663.80/6,435.81 = 2,567.88/x
  3. Step 3: Cross multiply
    4,663.80x = 6,435.81 × 2,567.88
  4. Step 4: Simplify right side
    4,663.80x = 16,526,387.78
  5. Step 5: Solve for x
    x = 16,526,387.78/4,663.80
  6. Step 6: Final answer
    x = 3,543.55

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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.