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Finding the Fourth Proportional to 3,622.34, 4,998.90 and 2,364.20

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Solution

The fourth proportional to 3,622.34, 4,998.90 and 2,364.20 is: 3,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.34 : 4,998.90 = 2,364.20 : x
  2. Step 2: Convert to fraction form
    3,622.34/4,998.90 = 2,364.20/x
  3. Step 3: Cross multiply
    3,622.34x = 4,998.90 × 2,364.20
  4. Step 4: Simplify right side
    3,622.34x = 11,818,399.38
  5. Step 5: Solve for x
    x = 11,818,399.38/3,622.34
  6. Step 6: Final answer
    x = 3,262.64

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Why These Related Problems?

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