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Finding the Fourth Proportional to 5,804.22, 8,009.94 and 3,534.78

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Solution

The fourth proportional to 5,804.22, 8,009.94 and 3,534.78 is: 4,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.22 : 8,009.94 = 3,534.78 : x
  2. Step 2: Convert to fraction form
    5,804.22/8,009.94 = 3,534.78/x
  3. Step 3: Cross multiply
    5,804.22x = 8,009.94 × 3,534.78
  4. Step 4: Simplify right side
    5,804.22x = 28,313,375.71
  5. Step 5: Solve for x
    x = 28,313,375.71/5,804.22
  6. Step 6: Final answer
    x = 4,878.07

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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.