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Finding the Fourth Proportional to 4,646.94, 6,411.12 and 2,630.07

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Solution

The fourth proportional to 4,646.94, 6,411.12 and 2,630.07 is: 3,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.94 : 6,411.12 = 2,630.07 : x
  2. Step 2: Convert to fraction form
    4,646.94/6,411.12 = 2,630.07/x
  3. Step 3: Cross multiply
    4,646.94x = 6,411.12 × 2,630.07
  4. Step 4: Simplify right side
    4,646.94x = 16,861,694.38
  5. Step 5: Solve for x
    x = 16,861,694.38/4,646.94
  6. Step 6: Final answer
    x = 3,628.56

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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.