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Finding the Fourth Proportional to 5,806.51, 8,009.91 and 3,678.29

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Solution

The fourth proportional to 5,806.51, 8,009.91 and 3,678.29 is: 5,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.51 : 8,009.91 = 3,678.29 : x
  2. Step 2: Convert to fraction form
    5,806.51/8,009.91 = 3,678.29/x
  3. Step 3: Cross multiply
    5,806.51x = 8,009.91 × 3,678.29
  4. Step 4: Simplify right side
    5,806.51x = 29,462,749.66
  5. Step 5: Solve for x
    x = 29,462,749.66/5,806.51
  6. Step 6: Final answer
    x = 5,074.09

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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.