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Finding the Fourth Proportional to 3,511.64, 4,846.65 and 2,376.79

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Solution

The fourth proportional to 3,511.64, 4,846.65 and 2,376.79 is: 3,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.64 : 4,846.65 = 2,376.79 : x
  2. Step 2: Convert to fraction form
    3,511.64/4,846.65 = 2,376.79/x
  3. Step 3: Cross multiply
    3,511.64x = 4,846.65 × 2,376.79
  4. Step 4: Simplify right side
    3,511.64x = 11,519,488.86
  5. Step 5: Solve for x
    x = 11,519,488.86/3,511.64
  6. Step 6: Final answer
    x = 3,280.38

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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.