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Finding the Fourth Proportional to 4,222.70, 6,338.10 and 3,607.10

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Solution

The fourth proportional to 4,222.70, 6,338.10 and 3,607.10 is: 5,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.70 : 6,338.10 = 3,607.10 : x
  2. Step 2: Convert to fraction form
    4,222.70/6,338.10 = 3,607.10/x
  3. Step 3: Cross multiply
    4,222.70x = 6,338.10 × 3,607.10
  4. Step 4: Simplify right side
    4,222.70x = 22,862,160.51
  5. Step 5: Solve for x
    x = 22,862,160.51/4,222.70
  6. Step 6: Final answer
    x = 5,414.11

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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.