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Finding the Fourth Proportional to 4,663.56, 6,435.72 and 2,567.69

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Solution

The fourth proportional to 4,663.56, 6,435.72 and 2,567.69 is: 3,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.56 : 6,435.72 = 2,567.69 : x
  2. Step 2: Convert to fraction form
    4,663.56/6,435.72 = 2,567.69/x
  3. Step 3: Cross multiply
    4,663.56x = 6,435.72 × 2,567.69
  4. Step 4: Simplify right side
    4,663.56x = 16,524,933.89
  5. Step 5: Solve for x
    x = 16,524,933.89/4,663.56
  6. Step 6: Final answer
    x = 3,543.42

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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.