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Finding the Fourth Proportional to 3,643.63, 5,464.59 and 1,562.65

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Solution

The fourth proportional to 3,643.63, 5,464.59 and 1,562.65 is: 2,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.63 : 5,464.59 = 1,562.65 : x
  2. Step 2: Convert to fraction form
    3,643.63/5,464.59 = 1,562.65/x
  3. Step 3: Cross multiply
    3,643.63x = 5,464.59 × 1,562.65
  4. Step 4: Simplify right side
    3,643.63x = 8,539,241.56
  5. Step 5: Solve for x
    x = 8,539,241.56/3,643.63
  6. Step 6: Final answer
    x = 2,343.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.