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Finding the Fourth Proportional to 4,706.58, 6,493.38 and 2,816.84

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Solution

The fourth proportional to 4,706.58, 6,493.38 and 2,816.84 is: 3,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.58 : 6,493.38 = 2,816.84 : x
  2. Step 2: Convert to fraction form
    4,706.58/6,493.38 = 2,816.84/x
  3. Step 3: Cross multiply
    4,706.58x = 6,493.38 × 2,816.84
  4. Step 4: Simplify right side
    4,706.58x = 18,290,812.52
  5. Step 5: Solve for x
    x = 18,290,812.52/4,706.58
  6. Step 6: Final answer
    x = 3,886.22

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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.