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Finding the Fourth Proportional to 3,214.49, 4,821.80 and 1,135.22

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Solution

The fourth proportional to 3,214.49, 4,821.80 and 1,135.22 is: 1,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.49 : 4,821.80 = 1,135.22 : x
  2. Step 2: Convert to fraction form
    3,214.49/4,821.80 = 1,135.22/x
  3. Step 3: Cross multiply
    3,214.49x = 4,821.80 × 1,135.22
  4. Step 4: Simplify right side
    3,214.49x = 5,473,774.01
  5. Step 5: Solve for x
    x = 5,473,774.01/3,214.49
  6. Step 6: Final answer
    x = 1,702.85

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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.