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Finding the Fourth Proportional to 4,663.53, 6,435.64 and 2,567.65

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Solution

The fourth proportional to 4,663.53, 6,435.64 and 2,567.65 is: 3,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.53 : 6,435.64 = 2,567.65 : x
  2. Step 2: Convert to fraction form
    4,663.53/6,435.64 = 2,567.65/x
  3. Step 3: Cross multiply
    4,663.53x = 6,435.64 × 2,567.65
  4. Step 4: Simplify right side
    4,663.53x = 16,524,471.05
  5. Step 5: Solve for x
    x = 16,524,471.05/4,663.53
  6. Step 6: Final answer
    x = 3,543.34

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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.