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Finding the Fourth Proportional to 3,532.36, 5,291.24 and 2,920

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Solution

The fourth proportional to 3,532.36, 5,291.24 and 2,920 is: 4,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.36 : 5,291.24 = 2,920 : x
  2. Step 2: Convert to fraction form
    3,532.36/5,291.24 = 2,920/x
  3. Step 3: Cross multiply
    3,532.36x = 5,291.24 × 2,920
  4. Step 4: Simplify right side
    3,532.36x = 15,450,420.80
  5. Step 5: Solve for x
    x = 15,450,420.80/3,532.36
  6. Step 6: Final answer
    x = 4,373.97

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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.