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Finding the Fourth Proportional to 5,653.42, 8,478.40 and 3,909.63

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Solution

The fourth proportional to 5,653.42, 8,478.40 and 3,909.63 is: 5,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.42 : 8,478.40 = 3,909.63 : x
  2. Step 2: Convert to fraction form
    5,653.42/8,478.40 = 3,909.63/x
  3. Step 3: Cross multiply
    5,653.42x = 8,478.40 × 3,909.63
  4. Step 4: Simplify right side
    5,653.42x = 33,147,345.05
  5. Step 5: Solve for x
    x = 33,147,345.05/5,653.42
  6. Step 6: Final answer
    x = 5,863.24

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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.