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Finding the Fourth Proportional to 4,703.80, 6,493.02 and 3,584.68

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Solution

The fourth proportional to 4,703.80, 6,493.02 and 3,584.68 is: 4,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.80 : 6,493.02 = 3,584.68 : x
  2. Step 2: Convert to fraction form
    4,703.80/6,493.02 = 3,584.68/x
  3. Step 3: Cross multiply
    4,703.80x = 6,493.02 × 3,584.68
  4. Step 4: Simplify right side
    4,703.80x = 23,275,398.93
  5. Step 5: Solve for x
    x = 23,275,398.93/4,703.80
  6. Step 6: Final answer
    x = 4,948.21

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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.