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Finding the Fourth Proportional to 4,663.54, 6,435.67 and 2,567.66

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Solution

The fourth proportional to 4,663.54, 6,435.67 and 2,567.66 is: 3,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.54 : 6,435.67 = 2,567.66 : x
  2. Step 2: Convert to fraction form
    4,663.54/6,435.67 = 2,567.66/x
  3. Step 3: Cross multiply
    4,663.54x = 6,435.67 × 2,567.66
  4. Step 4: Simplify right side
    4,663.54x = 16,524,612.43
  5. Step 5: Solve for x
    x = 16,524,612.43/4,663.54
  6. Step 6: Final answer
    x = 3,543.36

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