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Finding the Fourth Proportional to 4,576.84, 6,315.93 and 2,783.66

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Solution

The fourth proportional to 4,576.84, 6,315.93 and 2,783.66 is: 3,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.84 : 6,315.93 = 2,783.66 : x
  2. Step 2: Convert to fraction form
    4,576.84/6,315.93 = 2,783.66/x
  3. Step 3: Cross multiply
    4,576.84x = 6,315.93 × 2,783.66
  4. Step 4: Simplify right side
    4,576.84x = 17,581,370.12
  5. Step 5: Solve for x
    x = 17,581,370.12/4,576.84
  6. Step 6: Final answer
    x = 3,841.38

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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.