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Finding the Fourth Proportional to 5,326.56, 7,985.16 and 2,204.58

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Solution

The fourth proportional to 5,326.56, 7,985.16 and 2,204.58 is: 3,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.56 : 7,985.16 = 2,204.58 : x
  2. Step 2: Convert to fraction form
    5,326.56/7,985.16 = 2,204.58/x
  3. Step 3: Cross multiply
    5,326.56x = 7,985.16 × 2,204.58
  4. Step 4: Simplify right side
    5,326.56x = 17,603,924.03
  5. Step 5: Solve for x
    x = 17,603,924.03/5,326.56
  6. Step 6: Final answer
    x = 3,304.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.