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Finding the Fourth Proportional to 4,476.84, 6,711.16 and 1,879.96

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Solution

The fourth proportional to 4,476.84, 6,711.16 and 1,879.96 is: 2,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.84 : 6,711.16 = 1,879.96 : x
  2. Step 2: Convert to fraction form
    4,476.84/6,711.16 = 1,879.96/x
  3. Step 3: Cross multiply
    4,476.84x = 6,711.16 × 1,879.96
  4. Step 4: Simplify right side
    4,476.84x = 12,616,712.35
  5. Step 5: Solve for x
    x = 12,616,712.35/4,476.84
  6. Step 6: Final answer
    x = 2,818.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.