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Finding the Fourth Proportional to 3,420.64, 4,720.41 and 2,004.16

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Solution

The fourth proportional to 3,420.64, 4,720.41 and 2,004.16 is: 2,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.64 : 4,720.41 = 2,004.16 : x
  2. Step 2: Convert to fraction form
    3,420.64/4,720.41 = 2,004.16/x
  3. Step 3: Cross multiply
    3,420.64x = 4,720.41 × 2,004.16
  4. Step 4: Simplify right side
    3,420.64x = 9,460,456.91
  5. Step 5: Solve for x
    x = 9,460,456.91/3,420.64
  6. Step 6: Final answer
    x = 2,765.70

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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.