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Finding the Fourth Proportional to 5,659.78, 7,810.02 and 3,302.14

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Solution

The fourth proportional to 5,659.78, 7,810.02 and 3,302.14 is: 4,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.78 : 7,810.02 = 3,302.14 : x
  2. Step 2: Convert to fraction form
    5,659.78/7,810.02 = 3,302.14/x
  3. Step 3: Cross multiply
    5,659.78x = 7,810.02 × 3,302.14
  4. Step 4: Simplify right side
    5,659.78x = 25,789,779.44
  5. Step 5: Solve for x
    x = 25,789,779.44/5,659.78
  6. Step 6: Final answer
    x = 4,556.68

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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.