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Finding the Fourth Proportional to 4,642.90, 6,407.43 and 2,962.96

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Solution

The fourth proportional to 4,642.90, 6,407.43 and 2,962.96 is: 4,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.90 : 6,407.43 = 2,962.96 : x
  2. Step 2: Convert to fraction form
    4,642.90/6,407.43 = 2,962.96/x
  3. Step 3: Cross multiply
    4,642.90x = 6,407.43 × 2,962.96
  4. Step 4: Simplify right side
    4,642.90x = 18,984,958.79
  5. Step 5: Solve for x
    x = 18,984,958.79/4,642.90
  6. Step 6: Final answer
    x = 4,089.03

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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.