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Finding the Fourth Proportional to 4,312.49, 6,473.26 and 3,822.03

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Solution

The fourth proportional to 4,312.49, 6,473.26 and 3,822.03 is: 5,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.49 : 6,473.26 = 3,822.03 : x
  2. Step 2: Convert to fraction form
    4,312.49/6,473.26 = 3,822.03/x
  3. Step 3: Cross multiply
    4,312.49x = 6,473.26 × 3,822.03
  4. Step 4: Simplify right side
    4,312.49x = 24,740,974.81
  5. Step 5: Solve for x
    x = 24,740,974.81/4,312.49
  6. Step 6: Final answer
    x = 5,737.06

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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.