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Finding the Fourth Proportional to 4,642.79, 6,406.09 and 2,653.31

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Solution

The fourth proportional to 4,642.79, 6,406.09 and 2,653.31 is: 3,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.79 : 6,406.09 = 2,653.31 : x
  2. Step 2: Convert to fraction form
    4,642.79/6,406.09 = 2,653.31/x
  3. Step 3: Cross multiply
    4,642.79x = 6,406.09 × 2,653.31
  4. Step 4: Simplify right side
    4,642.79x = 16,997,352.04
  5. Step 5: Solve for x
    x = 16,997,352.04/4,642.79
  6. Step 6: Final answer
    x = 3,661.03

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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.