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Finding the Fourth Proportional to 5,223.60, 7,832.57 and 3,582

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Solution

The fourth proportional to 5,223.60, 7,832.57 and 3,582 is: 5,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.60 : 7,832.57 = 3,582 : x
  2. Step 2: Convert to fraction form
    5,223.60/7,832.57 = 3,582/x
  3. Step 3: Cross multiply
    5,223.60x = 7,832.57 × 3,582
  4. Step 4: Simplify right side
    5,223.60x = 28,056,247.83
  5. Step 5: Solve for x
    x = 28,056,247.83/5,223.60
  6. Step 6: Final answer
    x = 5,371.06

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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.