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Finding the Fourth Proportional to 6,417.28, 8,855.82 and 3,622.76

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Solution

The fourth proportional to 6,417.28, 8,855.82 and 3,622.76 is: 4,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.28 : 8,855.82 = 3,622.76 : x
  2. Step 2: Convert to fraction form
    6,417.28/8,855.82 = 3,622.76/x
  3. Step 3: Cross multiply
    6,417.28x = 8,855.82 × 3,622.76
  4. Step 4: Simplify right side
    6,417.28x = 32,082,510.46
  5. Step 5: Solve for x
    x = 32,082,510.46/6,417.28
  6. Step 6: Final answer
    x = 4,999.39

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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.