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Finding the Fourth Proportional to 3,455.64, 5,162.09 and 3,108.42

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Solution

The fourth proportional to 3,455.64, 5,162.09 and 3,108.42 is: 4,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 5,162.09 = 3,108.42 : x
  2. Step 2: Convert to fraction form
    3,455.64/5,162.09 = 3,108.42/x
  3. Step 3: Cross multiply
    3,455.64x = 5,162.09 × 3,108.42
  4. Step 4: Simplify right side
    3,455.64x = 16,045,928.26
  5. Step 5: Solve for x
    x = 16,045,928.26/3,455.64
  6. Step 6: Final answer
    x = 4,643.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.