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Finding the Fourth Proportional to 6,032, 8,324.16 and 3,548.80

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Solution

The fourth proportional to 6,032, 8,324.16 and 3,548.80 is: 4,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032 : 8,324.16 = 3,548.80 : x
  2. Step 2: Convert to fraction form
    6,032/8,324.16 = 3,548.80/x
  3. Step 3: Cross multiply
    6,032x = 8,324.16 × 3,548.80
  4. Step 4: Simplify right side
    6,032x = 29,540,779.01
  5. Step 5: Solve for x
    x = 29,540,779.01/6,032
  6. Step 6: Final answer
    x = 4,897.34

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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.