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Finding the Fourth Proportional to 3,499.48, 4,829.10 and 2,173.16

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Solution

The fourth proportional to 3,499.48, 4,829.10 and 2,173.16 is: 2,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.48 : 4,829.10 = 2,173.16 : x
  2. Step 2: Convert to fraction form
    3,499.48/4,829.10 = 2,173.16/x
  3. Step 3: Cross multiply
    3,499.48x = 4,829.10 × 2,173.16
  4. Step 4: Simplify right side
    3,499.48x = 10,494,395.94
  5. Step 5: Solve for x
    x = 10,494,395.94/3,499.48
  6. Step 6: Final answer
    x = 2,998.84

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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.