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Finding the Fourth Proportional to 4,538.93, 6,804.94 and 2,346.26

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Solution

The fourth proportional to 4,538.93, 6,804.94 and 2,346.26 is: 3,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.93 : 6,804.94 = 2,346.26 : x
  2. Step 2: Convert to fraction form
    4,538.93/6,804.94 = 2,346.26/x
  3. Step 3: Cross multiply
    4,538.93x = 6,804.94 × 2,346.26
  4. Step 4: Simplify right side
    4,538.93x = 15,966,135.65
  5. Step 5: Solve for x
    x = 15,966,135.65/4,538.93
  6. Step 6: Final answer
    x = 3,517.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.