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Finding the Fourth Proportional to 4,315.84, 5,957.82 and 2,823.82

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Solution

The fourth proportional to 4,315.84, 5,957.82 and 2,823.82 is: 3,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.84 : 5,957.82 = 2,823.82 : x
  2. Step 2: Convert to fraction form
    4,315.84/5,957.82 = 2,823.82/x
  3. Step 3: Cross multiply
    4,315.84x = 5,957.82 × 2,823.82
  4. Step 4: Simplify right side
    4,315.84x = 16,823,811.27
  5. Step 5: Solve for x
    x = 16,823,811.27/4,315.84
  6. Step 6: Final answer
    x = 3,898.15

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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.