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Finding the Fourth Proportional to 4,804.31, 7,205.85 and 1,294.58

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Solution

The fourth proportional to 4,804.31, 7,205.85 and 1,294.58 is: 1,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.31 : 7,205.85 = 1,294.58 : x
  2. Step 2: Convert to fraction form
    4,804.31/7,205.85 = 1,294.58/x
  3. Step 3: Cross multiply
    4,804.31x = 7,205.85 × 1,294.58
  4. Step 4: Simplify right side
    4,804.31x = 9,328,549.29
  5. Step 5: Solve for x
    x = 9,328,549.29/4,804.31
  6. Step 6: Final answer
    x = 1,941.70

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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.