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Finding the Fourth Proportional to 3,874.79, 5,343.28 and 3,317.10

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Solution

The fourth proportional to 3,874.79, 5,343.28 and 3,317.10 is: 4,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.79 : 5,343.28 = 3,317.10 : x
  2. Step 2: Convert to fraction form
    3,874.79/5,343.28 = 3,317.10/x
  3. Step 3: Cross multiply
    3,874.79x = 5,343.28 × 3,317.10
  4. Step 4: Simplify right side
    3,874.79x = 17,724,185.80
  5. Step 5: Solve for x
    x = 17,724,185.80/3,874.79
  6. Step 6: Final answer
    x = 4,574.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.