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Finding the Fourth Proportional to 5,643.10, 8,464.65 and 3,674.80

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Solution

The fourth proportional to 5,643.10, 8,464.65 and 3,674.80 is: 5,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.10 : 8,464.65 = 3,674.80 : x
  2. Step 2: Convert to fraction form
    5,643.10/8,464.65 = 3,674.80/x
  3. Step 3: Cross multiply
    5,643.10x = 8,464.65 × 3,674.80
  4. Step 4: Simplify right side
    5,643.10x = 31,105,895.82
  5. Step 5: Solve for x
    x = 31,105,895.82/5,643.10
  6. Step 6: Final answer
    x = 5,512.20

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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.