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Finding the Fourth Proportional to 4,642.29, 6,406.08 and 2,754.05

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Solution

The fourth proportional to 4,642.29, 6,406.08 and 2,754.05 is: 3,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.29 : 6,406.08 = 2,754.05 : x
  2. Step 2: Convert to fraction form
    4,642.29/6,406.08 = 2,754.05/x
  3. Step 3: Cross multiply
    4,642.29x = 6,406.08 × 2,754.05
  4. Step 4: Simplify right side
    4,642.29x = 17,642,632.59
  5. Step 5: Solve for x
    x = 17,642,632.59/4,642.29
  6. Step 6: Final answer
    x = 3,800.42

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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.