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Finding the Fourth Proportional to 5,154.49, 7,109.33 and 4,033.65

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Solution

The fourth proportional to 5,154.49, 7,109.33 and 4,033.65 is: 5,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.49 : 7,109.33 = 4,033.65 : x
  2. Step 2: Convert to fraction form
    5,154.49/7,109.33 = 4,033.65/x
  3. Step 3: Cross multiply
    5,154.49x = 7,109.33 × 4,033.65
  4. Step 4: Simplify right side
    5,154.49x = 28,676,548.95
  5. Step 5: Solve for x
    x = 28,676,548.95/5,154.49
  6. Step 6: Final answer
    x = 5,563.41

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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.