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Finding the Fourth Proportional to 4,648.42, 6,968.31 and 3,188.26

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Solution

The fourth proportional to 4,648.42, 6,968.31 and 3,188.26 is: 4,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.42 : 6,968.31 = 3,188.26 : x
  2. Step 2: Convert to fraction form
    4,648.42/6,968.31 = 3,188.26/x
  3. Step 3: Cross multiply
    4,648.42x = 6,968.31 × 3,188.26
  4. Step 4: Simplify right side
    4,648.42x = 22,216,784.04
  5. Step 5: Solve for x
    x = 22,216,784.04/4,648.42
  6. Step 6: Final answer
    x = 4,779.43

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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.