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Finding the Fourth Proportional to 3,420.34, 4,718.16 and 2,003.68

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Solution

The fourth proportional to 3,420.34, 4,718.16 and 2,003.68 is: 2,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.34 : 4,718.16 = 2,003.68 : x
  2. Step 2: Convert to fraction form
    3,420.34/4,718.16 = 2,003.68/x
  3. Step 3: Cross multiply
    3,420.34x = 4,718.16 × 2,003.68
  4. Step 4: Simplify right side
    3,420.34x = 9,453,682.83
  5. Step 5: Solve for x
    x = 9,453,682.83/3,420.34
  6. Step 6: Final answer
    x = 2,763.96

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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.