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Finding the Fourth Proportional to 6,279.84, 8,665.53 and 3,628.10

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Solution

The fourth proportional to 6,279.84, 8,665.53 and 3,628.10 is: 5,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.84 : 8,665.53 = 3,628.10 : x
  2. Step 2: Convert to fraction form
    6,279.84/8,665.53 = 3,628.10/x
  3. Step 3: Cross multiply
    6,279.84x = 8,665.53 × 3,628.10
  4. Step 4: Simplify right side
    6,279.84x = 31,439,417.45
  5. Step 5: Solve for x
    x = 31,439,417.45/6,279.84
  6. Step 6: Final answer
    x = 5,006.40

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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.