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Finding the Fourth Proportional to 3,290.90, 4,538.03 and 2,820.42

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Solution

The fourth proportional to 3,290.90, 4,538.03 and 2,820.42 is: 3,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.90 : 4,538.03 = 2,820.42 : x
  2. Step 2: Convert to fraction form
    3,290.90/4,538.03 = 2,820.42/x
  3. Step 3: Cross multiply
    3,290.90x = 4,538.03 × 2,820.42
  4. Step 4: Simplify right side
    3,290.90x = 12,799,136.47
  5. Step 5: Solve for x
    x = 12,799,136.47/3,290.90
  6. Step 6: Final answer
    x = 3,889.26

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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.