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Finding the Fourth Proportional to 4,640.92, 6,404.38 and 2,624.31

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Solution

The fourth proportional to 4,640.92, 6,404.38 and 2,624.31 is: 3,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.92 : 6,404.38 = 2,624.31 : x
  2. Step 2: Convert to fraction form
    4,640.92/6,404.38 = 2,624.31/x
  3. Step 3: Cross multiply
    4,640.92x = 6,404.38 × 2,624.31
  4. Step 4: Simplify right side
    4,640.92x = 16,807,068.67
  5. Step 5: Solve for x
    x = 16,807,068.67/4,640.92
  6. Step 6: Final answer
    x = 3,621.49

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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.