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Finding the Fourth Proportional to 3,532.98, 5,304.33 and 1,802.82

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Solution

The fourth proportional to 3,532.98, 5,304.33 and 1,802.82 is: 2,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.98 : 5,304.33 = 1,802.82 : x
  2. Step 2: Convert to fraction form
    3,532.98/5,304.33 = 1,802.82/x
  3. Step 3: Cross multiply
    3,532.98x = 5,304.33 × 1,802.82
  4. Step 4: Simplify right side
    3,532.98x = 9,562,752.21
  5. Step 5: Solve for x
    x = 9,562,752.21/3,532.98
  6. Step 6: Final answer
    x = 2,706.71

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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.