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Finding the Fourth Proportional to 3,420.59, 5,133.38 and 2,642.54

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Solution

The fourth proportional to 3,420.59, 5,133.38 and 2,642.54 is: 3,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.59 : 5,133.38 = 2,642.54 : x
  2. Step 2: Convert to fraction form
    3,420.59/5,133.38 = 2,642.54/x
  3. Step 3: Cross multiply
    3,420.59x = 5,133.38 × 2,642.54
  4. Step 4: Simplify right side
    3,420.59x = 13,565,123.11
  5. Step 5: Solve for x
    x = 13,565,123.11/3,420.59
  6. Step 6: Final answer
    x = 3,965.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.