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Finding the Fourth Proportional to 3,449.43, 4,727.06 and 3,117.29

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Solution

The fourth proportional to 3,449.43, 4,727.06 and 3,117.29 is: 4,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.43 : 4,727.06 = 3,117.29 : x
  2. Step 2: Convert to fraction form
    3,449.43/4,727.06 = 3,117.29/x
  3. Step 3: Cross multiply
    3,449.43x = 4,727.06 × 3,117.29
  4. Step 4: Simplify right side
    3,449.43x = 14,735,577.65
  5. Step 5: Solve for x
    x = 14,735,577.65/3,449.43
  6. Step 6: Final answer
    x = 4,271.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.