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Finding the Fourth Proportional to 4,703.49, 6,489.05 and 2,713.32

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Solution

The fourth proportional to 4,703.49, 6,489.05 and 2,713.32 is: 3,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.49 : 6,489.05 = 2,713.32 : x
  2. Step 2: Convert to fraction form
    4,703.49/6,489.05 = 2,713.32/x
  3. Step 3: Cross multiply
    4,703.49x = 6,489.05 × 2,713.32
  4. Step 4: Simplify right side
    4,703.49x = 17,606,855.58
  5. Step 5: Solve for x
    x = 17,606,855.58/4,703.49
  6. Step 6: Final answer
    x = 3,743.36

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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.