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Finding the Fourth Proportional to 4,176.99, 5,762.21 and 3,513.60

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Solution

The fourth proportional to 4,176.99, 5,762.21 and 3,513.60 is: 4,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.99 : 5,762.21 = 3,513.60 : x
  2. Step 2: Convert to fraction form
    4,176.99/5,762.21 = 3,513.60/x
  3. Step 3: Cross multiply
    4,176.99x = 5,762.21 × 3,513.60
  4. Step 4: Simplify right side
    4,176.99x = 20,246,083.49
  5. Step 5: Solve for x
    x = 20,246,083.49/4,176.99
  6. Step 6: Final answer
    x = 4,847.05

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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.