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Finding the Fourth Proportional to 3,199.37, 4,792.64 and 2,542.32

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Solution

The fourth proportional to 3,199.37, 4,792.64 and 2,542.32 is: 3,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.37 : 4,792.64 = 2,542.32 : x
  2. Step 2: Convert to fraction form
    3,199.37/4,792.64 = 2,542.32/x
  3. Step 3: Cross multiply
    3,199.37x = 4,792.64 × 2,542.32
  4. Step 4: Simplify right side
    3,199.37x = 12,184,411.81
  5. Step 5: Solve for x
    x = 12,184,411.81/3,199.37
  6. Step 6: Final answer
    x = 3,808.38

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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.