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Finding the Fourth Proportional to 4,642.72, 6,407.40 and 2,653.42

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Solution

The fourth proportional to 4,642.72, 6,407.40 and 2,653.42 is: 3,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.72 : 6,407.40 = 2,653.42 : x
  2. Step 2: Convert to fraction form
    4,642.72/6,407.40 = 2,653.42/x
  3. Step 3: Cross multiply
    4,642.72x = 6,407.40 × 2,653.42
  4. Step 4: Simplify right side
    4,642.72x = 17,001,523.31
  5. Step 5: Solve for x
    x = 17,001,523.31/4,642.72
  6. Step 6: Final answer
    x = 3,661.97

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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.