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Finding the Fourth Proportional to 5,948.98, 8,209.64 and 3,296.63

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Solution

The fourth proportional to 5,948.98, 8,209.64 and 3,296.63 is: 4,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.98 : 8,209.64 = 3,296.63 : x
  2. Step 2: Convert to fraction form
    5,948.98/8,209.64 = 3,296.63/x
  3. Step 3: Cross multiply
    5,948.98x = 8,209.64 × 3,296.63
  4. Step 4: Simplify right side
    5,948.98x = 27,064,145.51
  5. Step 5: Solve for x
    x = 27,064,145.51/5,948.98
  6. Step 6: Final answer
    x = 4,549.38

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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.