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Finding the Fourth Proportional to 5,821.26, 8,036.04 and 3,430.47

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Solution

The fourth proportional to 5,821.26, 8,036.04 and 3,430.47 is: 4,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.26 : 8,036.04 = 3,430.47 : x
  2. Step 2: Convert to fraction form
    5,821.26/8,036.04 = 3,430.47/x
  3. Step 3: Cross multiply
    5,821.26x = 8,036.04 × 3,430.47
  4. Step 4: Simplify right side
    5,821.26x = 27,567,394.14
  5. Step 5: Solve for x
    x = 27,567,394.14/5,821.26
  6. Step 6: Final answer
    x = 4,735.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.