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Finding the Fourth Proportional to 4,663.74, 6,435.90 and 2,567.82

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Solution

The fourth proportional to 4,663.74, 6,435.90 and 2,567.82 is: 3,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.74 : 6,435.90 = 2,567.82 : x
  2. Step 2: Convert to fraction form
    4,663.74/6,435.90 = 2,567.82/x
  3. Step 3: Cross multiply
    4,663.74x = 6,435.90 × 2,567.82
  4. Step 4: Simplify right side
    4,663.74x = 16,526,232.74
  5. Step 5: Solve for x
    x = 16,526,232.74/4,663.74
  6. Step 6: Final answer
    x = 3,543.56

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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.