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Finding the Fourth Proportional to 4,804.09, 7,205.52 and 1,294.39

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Solution

The fourth proportional to 4,804.09, 7,205.52 and 1,294.39 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.09 : 7,205.52 = 1,294.39 : x
  2. Step 2: Convert to fraction form
    4,804.09/7,205.52 = 1,294.39/x
  3. Step 3: Cross multiply
    4,804.09x = 7,205.52 × 1,294.39
  4. Step 4: Simplify right side
    4,804.09x = 9,326,753.03
  5. Step 5: Solve for x
    x = 9,326,753.03/4,804.09
  6. Step 6: Final answer
    x = 1,941.42

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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.