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Finding the Fourth Proportional to 4,329.64, 5,962.32 and 3,762.20

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Solution

The fourth proportional to 4,329.64, 5,962.32 and 3,762.20 is: 5,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.64 : 5,962.32 = 3,762.20 : x
  2. Step 2: Convert to fraction form
    4,329.64/5,962.32 = 3,762.20/x
  3. Step 3: Cross multiply
    4,329.64x = 5,962.32 × 3,762.20
  4. Step 4: Simplify right side
    4,329.64x = 22,431,440.30
  5. Step 5: Solve for x
    x = 22,431,440.30/4,329.64
  6. Step 6: Final answer
    x = 5,180.90

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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.