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Finding the Fourth Proportional to 3,423.20, 4,720.22 and 2,477.12

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Solution

The fourth proportional to 3,423.20, 4,720.22 and 2,477.12 is: 3,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.20 : 4,720.22 = 2,477.12 : x
  2. Step 2: Convert to fraction form
    3,423.20/4,720.22 = 2,477.12/x
  3. Step 3: Cross multiply
    3,423.20x = 4,720.22 × 2,477.12
  4. Step 4: Simplify right side
    3,423.20x = 11,692,551.37
  5. Step 5: Solve for x
    x = 11,692,551.37/3,423.20
  6. Step 6: Final answer
    x = 3,415.68

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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.